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Finding the Fourth Proportional to 807.48, 1,114.98 and 658.13

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Solution

The fourth proportional to 807.48, 1,114.98 and 658.13 is: 908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.48 : 1,114.98 = 658.13 : x
  2. Step 2: Convert to fraction form
    807.48/1,114.98 = 658.13/x
  3. Step 3: Cross multiply
    807.48x = 1,114.98 × 658.13
  4. Step 4: Simplify right side
    807.48x = 733,801.79
  5. Step 5: Solve for x
    x = 733,801.79/807.48
  6. Step 6: Final answer
    x = 908.76

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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.