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Finding the Fourth Proportional to 781.79, 1,166.95 and 689.52

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Solution

The fourth proportional to 781.79, 1,166.95 and 689.52 is: 1,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.79 : 1,166.95 = 689.52 : x
  2. Step 2: Convert to fraction form
    781.79/1,166.95 = 689.52/x
  3. Step 3: Cross multiply
    781.79x = 1,166.95 × 689.52
  4. Step 4: Simplify right side
    781.79x = 804,635.36
  5. Step 5: Solve for x
    x = 804,635.36/781.79
  6. Step 6: Final answer
    x = 1,029.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.