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Finding the Fourth Proportional to 949.81, 1,425.03 and 686.85

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Solution

The fourth proportional to 949.81, 1,425.03 and 686.85 is: 1,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.81 : 1,425.03 = 686.85 : x
  2. Step 2: Convert to fraction form
    949.81/1,425.03 = 686.85/x
  3. Step 3: Cross multiply
    949.81x = 1,425.03 × 686.85
  4. Step 4: Simplify right side
    949.81x = 978,789.40
  5. Step 5: Solve for x
    x = 978,789.40/949.81
  6. Step 6: Final answer
    x = 1,030.51

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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.