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Finding the Fourth Proportional to 476.24, 657.12 and 406.56

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Solution

The fourth proportional to 476.24, 657.12 and 406.56 is: 560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.24 : 657.12 = 406.56 : x
  2. Step 2: Convert to fraction form
    476.24/657.12 = 406.56/x
  3. Step 3: Cross multiply
    476.24x = 657.12 × 406.56
  4. Step 4: Simplify right side
    476.24x = 267,158.71
  5. Step 5: Solve for x
    x = 267,158.71/476.24
  6. Step 6: Final answer
    x = 560.97

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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.