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Finding the Fourth Proportional to 793.69, 1,187.95 and 717.91

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Solution

The fourth proportional to 793.69, 1,187.95 and 717.91 is: 1,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.69 : 1,187.95 = 717.91 : x
  2. Step 2: Convert to fraction form
    793.69/1,187.95 = 717.91/x
  3. Step 3: Cross multiply
    793.69x = 1,187.95 × 717.91
  4. Step 4: Simplify right side
    793.69x = 852,836.42
  5. Step 5: Solve for x
    x = 852,836.42/793.69
  6. Step 6: Final answer
    x = 1,074.52

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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.