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Finding the Fourth Proportional to 658.72, 989.02 and 385.32

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Solution

The fourth proportional to 658.72, 989.02 and 385.32 is: 578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.72 : 989.02 = 385.32 : x
  2. Step 2: Convert to fraction form
    658.72/989.02 = 385.32/x
  3. Step 3: Cross multiply
    658.72x = 989.02 × 385.32
  4. Step 4: Simplify right side
    658.72x = 381,089.19
  5. Step 5: Solve for x
    x = 381,089.19/658.72
  6. Step 6: Final answer
    x = 578.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.