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Finding the Fourth Proportional to 686.98, 1,030.70 and 224.78

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Solution

The fourth proportional to 686.98, 1,030.70 and 224.78 is: 337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.98 : 1,030.70 = 224.78 : x
  2. Step 2: Convert to fraction form
    686.98/1,030.70 = 224.78/x
  3. Step 3: Cross multiply
    686.98x = 1,030.70 × 224.78
  4. Step 4: Simplify right side
    686.98x = 231,680.75
  5. Step 5: Solve for x
    x = 231,680.75/686.98
  6. Step 6: Final answer
    x = 337.25

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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.