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Finding the Fourth Proportional to 1,155.57, 1,594.28 and 781.95

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Solution

The fourth proportional to 1,155.57, 1,594.28 and 781.95 is: 1,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.57 : 1,594.28 = 781.95 : x
  2. Step 2: Convert to fraction form
    1,155.57/1,594.28 = 781.95/x
  3. Step 3: Cross multiply
    1,155.57x = 1,594.28 × 781.95
  4. Step 4: Simplify right side
    1,155.57x = 1,246,655.18
  5. Step 5: Solve for x
    x = 1,246,655.18/1,155.57
  6. Step 6: Final answer
    x = 1,078.83

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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.