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Finding the Fourth Proportional to 1,013.62, 1,520.44 and 363.90

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Solution

The fourth proportional to 1,013.62, 1,520.44 and 363.90 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.62 : 1,520.44 = 363.90 : x
  2. Step 2: Convert to fraction form
    1,013.62/1,520.44 = 363.90/x
  3. Step 3: Cross multiply
    1,013.62x = 1,520.44 × 363.90
  4. Step 4: Simplify right side
    1,013.62x = 553,288.12
  5. Step 5: Solve for x
    x = 553,288.12/1,013.62
  6. Step 6: Final answer
    x = 545.85

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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.