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Finding the Fourth Proportional to 477.46, 657.50 and 410.52

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Solution

The fourth proportional to 477.46, 657.50 and 410.52 is: 565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.46 : 657.50 = 410.52 : x
  2. Step 2: Convert to fraction form
    477.46/657.50 = 410.52/x
  3. Step 3: Cross multiply
    477.46x = 657.50 × 410.52
  4. Step 4: Simplify right side
    477.46x = 269,916.90
  5. Step 5: Solve for x
    x = 269,916.90/477.46
  6. Step 6: Final answer
    x = 565.32

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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.