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Finding the Fourth Proportional to 1,638.01, 2,456.70 and 542.08

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Solution

The fourth proportional to 1,638.01, 2,456.70 and 542.08 is: 813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.01 : 2,456.70 = 542.08 : x
  2. Step 2: Convert to fraction form
    1,638.01/2,456.70 = 542.08/x
  3. Step 3: Cross multiply
    1,638.01x = 2,456.70 × 542.08
  4. Step 4: Simplify right side
    1,638.01x = 1,331,727.94
  5. Step 5: Solve for x
    x = 1,331,727.94/1,638.01
  6. Step 6: Final answer
    x = 813.02

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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.