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Finding the Fourth Proportional to 1,014.01, 1,519.98 and 396.87

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Solution

The fourth proportional to 1,014.01, 1,519.98 and 396.87 is: 594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.01 : 1,519.98 = 396.87 : x
  2. Step 2: Convert to fraction form
    1,014.01/1,519.98 = 396.87/x
  3. Step 3: Cross multiply
    1,014.01x = 1,519.98 × 396.87
  4. Step 4: Simplify right side
    1,014.01x = 603,233.55
  5. Step 5: Solve for x
    x = 603,233.55/1,014.01
  6. Step 6: Final answer
    x = 594.90

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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.