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Finding the Fourth Proportional to 477.04, 656.68 and 411.16

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Solution

The fourth proportional to 477.04, 656.68 and 411.16 is: 565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 656.68 = 411.16 : x
  2. Step 2: Convert to fraction form
    477.04/656.68 = 411.16/x
  3. Step 3: Cross multiply
    477.04x = 656.68 × 411.16
  4. Step 4: Simplify right side
    477.04x = 270,000.55
  5. Step 5: Solve for x
    x = 270,000.55/477.04
  6. Step 6: Final answer
    x = 565.99

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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.