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Finding the Fourth Proportional to 1,120.68, 1,681.02 and 427.53

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Solution

The fourth proportional to 1,120.68, 1,681.02 and 427.53 is: 641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.68 : 1,681.02 = 427.53 : x
  2. Step 2: Convert to fraction form
    1,120.68/1,681.02 = 427.53/x
  3. Step 3: Cross multiply
    1,120.68x = 1,681.02 × 427.53
  4. Step 4: Simplify right side
    1,120.68x = 718,686.48
  5. Step 5: Solve for x
    x = 718,686.48/1,120.68
  6. Step 6: Final answer
    x = 641.30

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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.