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Finding the Fourth Proportional to 1,687.93, 2,532.03 and 648.43

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Solution

The fourth proportional to 1,687.93, 2,532.03 and 648.43 is: 972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.93 : 2,532.03 = 648.43 : x
  2. Step 2: Convert to fraction form
    1,687.93/2,532.03 = 648.43/x
  3. Step 3: Cross multiply
    1,687.93x = 2,532.03 × 648.43
  4. Step 4: Simplify right side
    1,687.93x = 1,641,844.21
  5. Step 5: Solve for x
    x = 1,641,844.21/1,687.93
  6. Step 6: Final answer
    x = 972.70

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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.