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Finding the Fourth Proportional to 925.93, 1,278.04 and 571.91

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Solution

The fourth proportional to 925.93, 1,278.04 and 571.91 is: 789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.93 : 1,278.04 = 571.91 : x
  2. Step 2: Convert to fraction form
    925.93/1,278.04 = 571.91/x
  3. Step 3: Cross multiply
    925.93x = 1,278.04 × 571.91
  4. Step 4: Simplify right side
    925.93x = 730,924.30
  5. Step 5: Solve for x
    x = 730,924.30/925.93
  6. Step 6: Final answer
    x = 789.39

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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.