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Finding the Fourth Proportional to 1,637.26, 2,456.24 and 542.39

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Solution

The fourth proportional to 1,637.26, 2,456.24 and 542.39 is: 813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.26 : 2,456.24 = 542.39 : x
  2. Step 2: Convert to fraction form
    1,637.26/2,456.24 = 542.39/x
  3. Step 3: Cross multiply
    1,637.26x = 2,456.24 × 542.39
  4. Step 4: Simplify right side
    1,637.26x = 1,332,225.02
  5. Step 5: Solve for x
    x = 1,332,225.02/1,637.26
  6. Step 6: Final answer
    x = 813.69

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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.