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Finding the Fourth Proportional to 1,154.86, 1,593.20 and 781.71

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Solution

The fourth proportional to 1,154.86, 1,593.20 and 781.71 is: 1,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.86 : 1,593.20 = 781.71 : x
  2. Step 2: Convert to fraction form
    1,154.86/1,593.20 = 781.71/x
  3. Step 3: Cross multiply
    1,154.86x = 1,593.20 × 781.71
  4. Step 4: Simplify right side
    1,154.86x = 1,245,420.37
  5. Step 5: Solve for x
    x = 1,245,420.37/1,154.86
  6. Step 6: Final answer
    x = 1,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.