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Finding the Fourth Proportional to 1,737.71, 2,606.56 and 439.19

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Solution

The fourth proportional to 1,737.71, 2,606.56 and 439.19 is: 658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.71 : 2,606.56 = 439.19 : x
  2. Step 2: Convert to fraction form
    1,737.71/2,606.56 = 439.19/x
  3. Step 3: Cross multiply
    1,737.71x = 2,606.56 × 439.19
  4. Step 4: Simplify right side
    1,737.71x = 1,144,760.96
  5. Step 5: Solve for x
    x = 1,144,760.96/1,737.71
  6. Step 6: Final answer
    x = 658.78

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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.