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Finding the Fourth Proportional to 1,687.55, 2,531.07 and 648.04

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Solution

The fourth proportional to 1,687.55, 2,531.07 and 648.04 is: 971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.55 : 2,531.07 = 648.04 : x
  2. Step 2: Convert to fraction form
    1,687.55/2,531.07 = 648.04/x
  3. Step 3: Cross multiply
    1,687.55x = 2,531.07 × 648.04
  4. Step 4: Simplify right side
    1,687.55x = 1,640,247.59
  5. Step 5: Solve for x
    x = 1,640,247.59/1,687.55
  6. Step 6: Final answer
    x = 971.97

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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.