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Finding the Fourth Proportional to 1,354.20, 2,031 and 380.04

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Solution

The fourth proportional to 1,354.20, 2,031 and 380.04 is: 569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.20 : 2,031 = 380.04 : x
  2. Step 2: Convert to fraction form
    1,354.20/2,031 = 380.04/x
  3. Step 3: Cross multiply
    1,354.20x = 2,031 × 380.04
  4. Step 4: Simplify right side
    1,354.20x = 771,861.24
  5. Step 5: Solve for x
    x = 771,861.24/1,354.20
  6. Step 6: Final answer
    x = 569.98

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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.