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Finding the Fourth Proportional to 913.86, 1,367.73 and 542.46

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Solution

The fourth proportional to 913.86, 1,367.73 and 542.46 is: 811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.86 : 1,367.73 = 542.46 : x
  2. Step 2: Convert to fraction form
    913.86/1,367.73 = 542.46/x
  3. Step 3: Cross multiply
    913.86x = 1,367.73 × 542.46
  4. Step 4: Simplify right side
    913.86x = 741,938.82
  5. Step 5: Solve for x
    x = 741,938.82/913.86
  6. Step 6: Final answer
    x = 811.87

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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.