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Finding the Fourth Proportional to 767.52, 1,060.11 and 571.89

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Solution

The fourth proportional to 767.52, 1,060.11 and 571.89 is: 789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.52 : 1,060.11 = 571.89 : x
  2. Step 2: Convert to fraction form
    767.52/1,060.11 = 571.89/x
  3. Step 3: Cross multiply
    767.52x = 1,060.11 × 571.89
  4. Step 4: Simplify right side
    767.52x = 606,266.31
  5. Step 5: Solve for x
    x = 606,266.31/767.52
  6. Step 6: Final answer
    x = 789.90

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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.