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Finding the Fourth Proportional to 925.73, 1,386.11 and 849.59

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Solution

The fourth proportional to 925.73, 1,386.11 and 849.59 is: 1,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.73 : 1,386.11 = 849.59 : x
  2. Step 2: Convert to fraction form
    925.73/1,386.11 = 849.59/x
  3. Step 3: Cross multiply
    925.73x = 1,386.11 × 849.59
  4. Step 4: Simplify right side
    925.73x = 1,177,625.59
  5. Step 5: Solve for x
    x = 1,177,625.59/925.73
  6. Step 6: Final answer
    x = 1,272.11

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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.