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Finding the Fourth Proportional to 913.78, 1,372.07 and 550.18

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Solution

The fourth proportional to 913.78, 1,372.07 and 550.18 is: 826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.78 : 1,372.07 = 550.18 : x
  2. Step 2: Convert to fraction form
    913.78/1,372.07 = 550.18/x
  3. Step 3: Cross multiply
    913.78x = 1,372.07 × 550.18
  4. Step 4: Simplify right side
    913.78x = 754,885.47
  5. Step 5: Solve for x
    x = 754,885.47/913.78
  6. Step 6: Final answer
    x = 826.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.