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Finding the Fourth Proportional to 477.77, 658.68 and 358.03

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Solution

The fourth proportional to 477.77, 658.68 and 358.03 is: 493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 658.68 = 358.03 : x
  2. Step 2: Convert to fraction form
    477.77/658.68 = 358.03/x
  3. Step 3: Cross multiply
    477.77x = 658.68 × 358.03
  4. Step 4: Simplify right side
    477.77x = 235,827.20
  5. Step 5: Solve for x
    x = 235,827.20/477.77
  6. Step 6: Final answer
    x = 493.60

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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.