Home / 1,687.52-2,531.40-454.90

Finding the Fourth Proportional to 1,687.52, 2,531.40 and 454.90

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Solution

The fourth proportional to 1,687.52, 2,531.40 and 454.90 is: 682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.52 : 2,531.40 = 454.90 : x
  2. Step 2: Convert to fraction form
    1,687.52/2,531.40 = 454.90/x
  3. Step 3: Cross multiply
    1,687.52x = 2,531.40 × 454.90
  4. Step 4: Simplify right side
    1,687.52x = 1,151,533.86
  5. Step 5: Solve for x
    x = 1,151,533.86/1,687.52
  6. Step 6: Final answer
    x = 682.38

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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.