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Finding the Fourth Proportional to 1,354.34, 2,031.31 and 429.78

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Solution

The fourth proportional to 1,354.34, 2,031.31 and 429.78 is: 644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.34 : 2,031.31 = 429.78 : x
  2. Step 2: Convert to fraction form
    1,354.34/2,031.31 = 429.78/x
  3. Step 3: Cross multiply
    1,354.34x = 2,031.31 × 429.78
  4. Step 4: Simplify right side
    1,354.34x = 873,014.80
  5. Step 5: Solve for x
    x = 873,014.80/1,354.34
  6. Step 6: Final answer
    x = 644.60

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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.