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Finding the Fourth Proportional to 781.84, 1,078.68 and 545.86

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Solution

The fourth proportional to 781.84, 1,078.68 and 545.86 is: 753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,078.68 = 545.86 : x
  2. Step 2: Convert to fraction form
    781.84/1,078.68 = 545.86/x
  3. Step 3: Cross multiply
    781.84x = 1,078.68 × 545.86
  4. Step 4: Simplify right side
    781.84x = 588,808.26
  5. Step 5: Solve for x
    x = 588,808.26/781.84
  6. Step 6: Final answer
    x = 753.11

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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.