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Finding the Fourth Proportional to 686.74, 1,030 and 224.59

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Solution

The fourth proportional to 686.74, 1,030 and 224.59 is: 336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.74 : 1,030 = 224.59 : x
  2. Step 2: Convert to fraction form
    686.74/1,030 = 224.59/x
  3. Step 3: Cross multiply
    686.74x = 1,030 × 224.59
  4. Step 4: Simplify right side
    686.74x = 231,327.70
  5. Step 5: Solve for x
    x = 231,327.70/686.74
  6. Step 6: Final answer
    x = 336.85

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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.