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Finding the Fourth Proportional to 781.63, 1,078.57 and 546.09

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Solution

The fourth proportional to 781.63, 1,078.57 and 546.09 is: 753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.63 : 1,078.57 = 546.09 : x
  2. Step 2: Convert to fraction form
    781.63/1,078.57 = 546.09/x
  3. Step 3: Cross multiply
    781.63x = 1,078.57 × 546.09
  4. Step 4: Simplify right side
    781.63x = 588,996.29
  5. Step 5: Solve for x
    x = 588,996.29/781.63
  6. Step 6: Final answer
    x = 753.55

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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.