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Finding the Fourth Proportional to 477.52, 658.60 and 311.79

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Solution

The fourth proportional to 477.52, 658.60 and 311.79 is: 430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.52 : 658.60 = 311.79 : x
  2. Step 2: Convert to fraction form
    477.52/658.60 = 311.79/x
  3. Step 3: Cross multiply
    477.52x = 658.60 × 311.79
  4. Step 4: Simplify right side
    477.52x = 205,344.89
  5. Step 5: Solve for x
    x = 205,344.89/477.52
  6. Step 6: Final answer
    x = 430.02

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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.