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Finding the Fourth Proportional to 1,232.21, 1,847.70 and 410.19

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Solution

The fourth proportional to 1,232.21, 1,847.70 and 410.19 is: 615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.21 : 1,847.70 = 410.19 : x
  2. Step 2: Convert to fraction form
    1,232.21/1,847.70 = 410.19/x
  3. Step 3: Cross multiply
    1,232.21x = 1,847.70 × 410.19
  4. Step 4: Simplify right side
    1,232.21x = 757,908.06
  5. Step 5: Solve for x
    x = 757,908.06/1,232.21
  6. Step 6: Final answer
    x = 615.08

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Double scale
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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.