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Finding the Fourth Proportional to 726.17, 1,000.76 and 529.34

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Solution

The fourth proportional to 726.17, 1,000.76 and 529.34 is: 729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.17 : 1,000.76 = 529.34 : x
  2. Step 2: Convert to fraction form
    726.17/1,000.76 = 529.34/x
  3. Step 3: Cross multiply
    726.17x = 1,000.76 × 529.34
  4. Step 4: Simplify right side
    726.17x = 529,734.65
  5. Step 5: Solve for x
    x = 529,734.65/726.17
  6. Step 6: Final answer
    x = 729.50

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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.