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Finding the Fourth Proportional to 658.72, 907.50 and 548.02

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Solution

The fourth proportional to 658.72, 907.50 and 548.02 is: 754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.72 : 907.50 = 548.02 : x
  2. Step 2: Convert to fraction form
    658.72/907.50 = 548.02/x
  3. Step 3: Cross multiply
    658.72x = 907.50 × 548.02
  4. Step 4: Simplify right side
    658.72x = 497,328.15
  5. Step 5: Solve for x
    x = 497,328.15/658.72
  6. Step 6: Final answer
    x = 754.99

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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.