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Finding the Fourth Proportional to 1,687.61, 2,531.59 and 648.49

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Solution

The fourth proportional to 1,687.61, 2,531.59 and 648.49 is: 972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.61 : 2,531.59 = 648.49 : x
  2. Step 2: Convert to fraction form
    1,687.61/2,531.59 = 648.49/x
  3. Step 3: Cross multiply
    1,687.61x = 2,531.59 × 648.49
  4. Step 4: Simplify right side
    1,687.61x = 1,641,710.80
  5. Step 5: Solve for x
    x = 1,641,710.80/1,687.61
  6. Step 6: Final answer
    x = 972.80

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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.