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Finding the Fourth Proportional to 476.91, 658.34 and 403.61

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Solution

The fourth proportional to 476.91, 658.34 and 403.61 is: 557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.91 : 658.34 = 403.61 : x
  2. Step 2: Convert to fraction form
    476.91/658.34 = 403.61/x
  3. Step 3: Cross multiply
    476.91x = 658.34 × 403.61
  4. Step 4: Simplify right side
    476.91x = 265,707.30
  5. Step 5: Solve for x
    x = 265,707.30/476.91
  6. Step 6: Final answer
    x = 557.14

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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.