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Finding the Fourth Proportional to 477.45, 658.78 and 280.89

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Solution

The fourth proportional to 477.45, 658.78 and 280.89 is: 387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.45 : 658.78 = 280.89 : x
  2. Step 2: Convert to fraction form
    477.45/658.78 = 280.89/x
  3. Step 3: Cross multiply
    477.45x = 658.78 × 280.89
  4. Step 4: Simplify right side
    477.45x = 185,044.71
  5. Step 5: Solve for x
    x = 185,044.71/477.45
  6. Step 6: Final answer
    x = 387.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.