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Finding the Fourth Proportional to 1,349.28, 2,020.15 and 689.73

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Solution

The fourth proportional to 1,349.28, 2,020.15 and 689.73 is: 1,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.28 : 2,020.15 = 689.73 : x
  2. Step 2: Convert to fraction form
    1,349.28/2,020.15 = 689.73/x
  3. Step 3: Cross multiply
    1,349.28x = 2,020.15 × 689.73
  4. Step 4: Simplify right side
    1,349.28x = 1,393,354.61
  5. Step 5: Solve for x
    x = 1,393,354.61/1,349.28
  6. Step 6: Final answer
    x = 1,032.67

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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.