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Finding the Fourth Proportional to 793, 1,187.58 and 726.52

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Solution

The fourth proportional to 793, 1,187.58 and 726.52 is: 1,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    793 : 1,187.58 = 726.52 : x
  2. Step 2: Convert to fraction form
    793/1,187.58 = 726.52/x
  3. Step 3: Cross multiply
    793x = 1,187.58 × 726.52
  4. Step 4: Simplify right side
    793x = 862,800.62
  5. Step 5: Solve for x
    x = 862,800.62/793
  6. Step 6: Final answer
    x = 1,088.02

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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.