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Finding the Fourth Proportional to 658.86, 989.42 and 549.06

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Solution

The fourth proportional to 658.86, 989.42 and 549.06 is: 824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.86 : 989.42 = 549.06 : x
  2. Step 2: Convert to fraction form
    658.86/989.42 = 549.06/x
  3. Step 3: Cross multiply
    658.86x = 989.42 × 549.06
  4. Step 4: Simplify right side
    658.86x = 543,248.20
  5. Step 5: Solve for x
    x = 543,248.20/658.86
  6. Step 6: Final answer
    x = 824.53

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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.