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Finding the Fourth Proportional to 765.56, 1,057 and 471.16

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Solution

The fourth proportional to 765.56, 1,057 and 471.16 is: 650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.56 : 1,057 = 471.16 : x
  2. Step 2: Convert to fraction form
    765.56/1,057 = 471.16/x
  3. Step 3: Cross multiply
    765.56x = 1,057 × 471.16
  4. Step 4: Simplify right side
    765.56x = 498,016.12
  5. Step 5: Solve for x
    x = 498,016.12/765.56
  6. Step 6: Final answer
    x = 650.53

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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.