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Finding the Fourth Proportional to 781.11, 1,078.52 and 547.83

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Solution

The fourth proportional to 781.11, 1,078.52 and 547.83 is: 756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.11 : 1,078.52 = 547.83 : x
  2. Step 2: Convert to fraction form
    781.11/1,078.52 = 547.83/x
  3. Step 3: Cross multiply
    781.11x = 1,078.52 × 547.83
  4. Step 4: Simplify right side
    781.11x = 590,842.87
  5. Step 5: Solve for x
    x = 590,842.87/781.11
  6. Step 6: Final answer
    x = 756.41

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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.