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Finding the Fourth Proportional to 1,697.57, 2,532.85 and 1,489.80

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Solution

The fourth proportional to 1,697.57, 2,532.85 and 1,489.80 is: 2,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.57 : 2,532.85 = 1,489.80 : x
  2. Step 2: Convert to fraction form
    1,697.57/2,532.85 = 1,489.80/x
  3. Step 3: Cross multiply
    1,697.57x = 2,532.85 × 1,489.80
  4. Step 4: Simplify right side
    1,697.57x = 3,773,439.93
  5. Step 5: Solve for x
    x = 3,773,439.93/1,697.57
  6. Step 6: Final answer
    x = 2,222.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.