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Finding the Fourth Proportional to 768.52, 1,061.22 and 572.91

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Solution

The fourth proportional to 768.52, 1,061.22 and 572.91 is: 791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.52 : 1,061.22 = 572.91 : x
  2. Step 2: Convert to fraction form
    768.52/1,061.22 = 572.91/x
  3. Step 3: Cross multiply
    768.52x = 1,061.22 × 572.91
  4. Step 4: Simplify right side
    768.52x = 607,983.55
  5. Step 5: Solve for x
    x = 607,983.55/768.52
  6. Step 6: Final answer
    x = 791.11

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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.