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Finding the Fourth Proportional to 674.64, 930.42 and 527.02

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Solution

The fourth proportional to 674.64, 930.42 and 527.02 is: 726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.64 : 930.42 = 527.02 : x
  2. Step 2: Convert to fraction form
    674.64/930.42 = 527.02/x
  3. Step 3: Cross multiply
    674.64x = 930.42 × 527.02
  4. Step 4: Simplify right side
    674.64x = 490,347.62
  5. Step 5: Solve for x
    x = 490,347.62/674.64
  6. Step 6: Final answer
    x = 726.83

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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.