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Finding the Fourth Proportional to 2,003.28, 3,005.07 and 542.55

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Solution

The fourth proportional to 2,003.28, 3,005.07 and 542.55 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.28 : 3,005.07 = 542.55 : x
  2. Step 2: Convert to fraction form
    2,003.28/3,005.07 = 542.55/x
  3. Step 3: Cross multiply
    2,003.28x = 3,005.07 × 542.55
  4. Step 4: Simplify right side
    2,003.28x = 1,630,397.64
  5. Step 5: Solve for x
    x = 1,630,397.64/2,003.28
  6. Step 6: Final answer
    x = 813.86

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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.