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Finding the Fourth Proportional to 1,241.42, 1,863.03 and 1,000.85

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Solution

The fourth proportional to 1,241.42, 1,863.03 and 1,000.85 is: 1,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.42 : 1,863.03 = 1,000.85 : x
  2. Step 2: Convert to fraction form
    1,241.42/1,863.03 = 1,000.85/x
  3. Step 3: Cross multiply
    1,241.42x = 1,863.03 × 1,000.85
  4. Step 4: Simplify right side
    1,241.42x = 1,864,613.58
  5. Step 5: Solve for x
    x = 1,864,613.58/1,241.42
  6. Step 6: Final answer
    x = 1,502.00

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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.