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Finding the Fourth Proportional to 932.56, 1,398.84 and 547

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Solution

The fourth proportional to 932.56, 1,398.84 and 547 is: 820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.56 : 1,398.84 = 547 : x
  2. Step 2: Convert to fraction form
    932.56/1,398.84 = 547/x
  3. Step 3: Cross multiply
    932.56x = 1,398.84 × 547
  4. Step 4: Simplify right side
    932.56x = 765,165.48
  5. Step 5: Solve for x
    x = 765,165.48/932.56
  6. Step 6: Final answer
    x = 820.50

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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.