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Finding the Fourth Proportional to 765.71, 1,056.14 and 471.14

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Solution

The fourth proportional to 765.71, 1,056.14 and 471.14 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.71 : 1,056.14 = 471.14 : x
  2. Step 2: Convert to fraction form
    765.71/1,056.14 = 471.14/x
  3. Step 3: Cross multiply
    765.71x = 1,056.14 × 471.14
  4. Step 4: Simplify right side
    765.71x = 497,589.80
  5. Step 5: Solve for x
    x = 497,589.80/765.71
  6. Step 6: Final answer
    x = 649.84

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.