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Finding the Fourth Proportional to 477.43, 658.60 and 346.55

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Solution

The fourth proportional to 477.43, 658.60 and 346.55 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.43 : 658.60 = 346.55 : x
  2. Step 2: Convert to fraction form
    477.43/658.60 = 346.55/x
  3. Step 3: Cross multiply
    477.43x = 658.60 × 346.55
  4. Step 4: Simplify right side
    477.43x = 228,233.67
  5. Step 5: Solve for x
    x = 228,233.67/477.43
  6. Step 6: Final answer
    x = 478.05

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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.