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Finding the Fourth Proportional to 781.92, 1,173.42 and 577.02

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Solution

The fourth proportional to 781.92, 1,173.42 and 577.02 is: 865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.92 : 1,173.42 = 577.02 : x
  2. Step 2: Convert to fraction form
    781.92/1,173.42 = 577.02/x
  3. Step 3: Cross multiply
    781.92x = 1,173.42 × 577.02
  4. Step 4: Simplify right side
    781.92x = 677,086.81
  5. Step 5: Solve for x
    x = 677,086.81/781.92
  6. Step 6: Final answer
    x = 865.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.