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Finding the Fourth Proportional to 781.17, 1,171.44 and 577.05

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Solution

The fourth proportional to 781.17, 1,171.44 and 577.05 is: 865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.17 : 1,171.44 = 577.05 : x
  2. Step 2: Convert to fraction form
    781.17/1,171.44 = 577.05/x
  3. Step 3: Cross multiply
    781.17x = 1,171.44 × 577.05
  4. Step 4: Simplify right side
    781.17x = 675,979.45
  5. Step 5: Solve for x
    x = 675,979.45/781.17
  6. Step 6: Final answer
    x = 865.34

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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.