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Finding the Fourth Proportional to 674.72, 930.40 and 534.61

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Solution

The fourth proportional to 674.72, 930.40 and 534.61 is: 737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.72 : 930.40 = 534.61 : x
  2. Step 2: Convert to fraction form
    674.72/930.40 = 534.61/x
  3. Step 3: Cross multiply
    674.72x = 930.40 × 534.61
  4. Step 4: Simplify right side
    674.72x = 497,401.14
  5. Step 5: Solve for x
    x = 497,401.14/674.72
  6. Step 6: Final answer
    x = 737.20

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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.