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Finding the Fourth Proportional to 781.92, 1,171.44 and 564.96

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Solution

The fourth proportional to 781.92, 1,171.44 and 564.96 is: 846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.92 : 1,171.44 = 564.96 : x
  2. Step 2: Convert to fraction form
    781.92/1,171.44 = 564.96/x
  3. Step 3: Cross multiply
    781.92x = 1,171.44 × 564.96
  4. Step 4: Simplify right side
    781.92x = 661,816.74
  5. Step 5: Solve for x
    x = 661,816.74/781.92
  6. Step 6: Final answer
    x = 846.40

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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.