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Finding the Fourth Proportional to 477.29, 657.31 and 475.90

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Solution

The fourth proportional to 477.29, 657.31 and 475.90 is: 655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.29 : 657.31 = 475.90 : x
  2. Step 2: Convert to fraction form
    477.29/657.31 = 475.90/x
  3. Step 3: Cross multiply
    477.29x = 657.31 × 475.90
  4. Step 4: Simplify right side
    477.29x = 312,813.83
  5. Step 5: Solve for x
    x = 312,813.83/477.29
  6. Step 6: Final answer
    x = 655.40

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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.