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Finding the Fourth Proportional to 788.79, 1,177.41 and 731.76

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Solution

The fourth proportional to 788.79, 1,177.41 and 731.76 is: 1,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.79 : 1,177.41 = 731.76 : x
  2. Step 2: Convert to fraction form
    788.79/1,177.41 = 731.76/x
  3. Step 3: Cross multiply
    788.79x = 1,177.41 × 731.76
  4. Step 4: Simplify right side
    788.79x = 861,581.54
  5. Step 5: Solve for x
    x = 861,581.54/788.79
  6. Step 6: Final answer
    x = 1,092.28

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1.5x scale

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.