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Finding the Fourth Proportional to 807.32, 1,113.68 and 658.18

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Solution

The fourth proportional to 807.32, 1,113.68 and 658.18 is: 907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.32 : 1,113.68 = 658.18 : x
  2. Step 2: Convert to fraction form
    807.32/1,113.68 = 658.18/x
  3. Step 3: Cross multiply
    807.32x = 1,113.68 × 658.18
  4. Step 4: Simplify right side
    807.32x = 733,001.90
  5. Step 5: Solve for x
    x = 733,001.90/807.32
  6. Step 6: Final answer
    x = 907.94

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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.