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Finding the Fourth Proportional to 793.72, 1,092.90 and 572.23

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Solution

The fourth proportional to 793.72, 1,092.90 and 572.23 is: 787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.72 : 1,092.90 = 572.23 : x
  2. Step 2: Convert to fraction form
    793.72/1,092.90 = 572.23/x
  3. Step 3: Cross multiply
    793.72x = 1,092.90 × 572.23
  4. Step 4: Simplify right side
    793.72x = 625,390.17
  5. Step 5: Solve for x
    x = 625,390.17/793.72
  6. Step 6: Final answer
    x = 787.92

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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.