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Finding the Fourth Proportional to 800.91, 1,104.50 and 769.32

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Solution

The fourth proportional to 800.91, 1,104.50 and 769.32 is: 1,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.91 : 1,104.50 = 769.32 : x
  2. Step 2: Convert to fraction form
    800.91/1,104.50 = 769.32/x
  3. Step 3: Cross multiply
    800.91x = 1,104.50 × 769.32
  4. Step 4: Simplify right side
    800.91x = 849,715.86
  5. Step 5: Solve for x
    x = 849,715.86/800.91
  6. Step 6: Final answer
    x = 1,060.94

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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.