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Finding the Fourth Proportional to 1,626.57, 2,439.90 and 701.55

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Solution

The fourth proportional to 1,626.57, 2,439.90 and 701.55 is: 1,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.57 : 2,439.90 = 701.55 : x
  2. Step 2: Convert to fraction form
    1,626.57/2,439.90 = 701.55/x
  3. Step 3: Cross multiply
    1,626.57x = 2,439.90 × 701.55
  4. Step 4: Simplify right side
    1,626.57x = 1,711,711.85
  5. Step 5: Solve for x
    x = 1,711,711.85/1,626.57
  6. Step 6: Final answer
    x = 1,052.34

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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.