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Finding the Fourth Proportional to 781.27, 1,165.91 and 715.05

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Solution

The fourth proportional to 781.27, 1,165.91 and 715.05 is: 1,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.27 : 1,165.91 = 715.05 : x
  2. Step 2: Convert to fraction form
    781.27/1,165.91 = 715.05/x
  3. Step 3: Cross multiply
    781.27x = 1,165.91 × 715.05
  4. Step 4: Simplify right side
    781.27x = 833,680.37
  5. Step 5: Solve for x
    x = 833,680.37/781.27
  6. Step 6: Final answer
    x = 1,067.09

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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.