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Finding the Fourth Proportional to 477.95, 658.85 and 311.87

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Solution

The fourth proportional to 477.95, 658.85 and 311.87 is: 429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.95 : 658.85 = 311.87 : x
  2. Step 2: Convert to fraction form
    477.95/658.85 = 311.87/x
  3. Step 3: Cross multiply
    477.95x = 658.85 × 311.87
  4. Step 4: Simplify right side
    477.95x = 205,475.64
  5. Step 5: Solve for x
    x = 205,475.64/477.95
  6. Step 6: Final answer
    x = 429.91

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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.