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Finding the Fourth Proportional to 1,690.57, 2,529.67 and 997.55

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Solution

The fourth proportional to 1,690.57, 2,529.67 and 997.55 is: 1,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.57 : 2,529.67 = 997.55 : x
  2. Step 2: Convert to fraction form
    1,690.57/2,529.67 = 997.55/x
  3. Step 3: Cross multiply
    1,690.57x = 2,529.67 × 997.55
  4. Step 4: Simplify right side
    1,690.57x = 2,523,472.31
  5. Step 5: Solve for x
    x = 2,523,472.31/1,690.57
  6. Step 6: Final answer
    x = 1,492.68

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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.