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Finding the Fourth Proportional to 1,675.65, 2,512.49 and 688.17

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Solution

The fourth proportional to 1,675.65, 2,512.49 and 688.17 is: 1,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.65 : 2,512.49 = 688.17 : x
  2. Step 2: Convert to fraction form
    1,675.65/2,512.49 = 688.17/x
  3. Step 3: Cross multiply
    1,675.65x = 2,512.49 × 688.17
  4. Step 4: Simplify right side
    1,675.65x = 1,729,020.24
  5. Step 5: Solve for x
    x = 1,729,020.24/1,675.65
  6. Step 6: Final answer
    x = 1,031.85

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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.