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Finding the Fourth Proportional to 1,230.74, 1,847.40 and 615.14

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Solution

The fourth proportional to 1,230.74, 1,847.40 and 615.14 is: 923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.74 : 1,847.40 = 615.14 : x
  2. Step 2: Convert to fraction form
    1,230.74/1,847.40 = 615.14/x
  3. Step 3: Cross multiply
    1,230.74x = 1,847.40 × 615.14
  4. Step 4: Simplify right side
    1,230.74x = 1,136,409.64
  5. Step 5: Solve for x
    x = 1,136,409.64/1,230.74
  6. Step 6: Final answer
    x = 923.35

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.