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Finding the Fourth Proportional to 1,354.34, 2,031.09 and 574.32

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Solution

The fourth proportional to 1,354.34, 2,031.09 and 574.32 is: 861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.34 : 2,031.09 = 574.32 : x
  2. Step 2: Convert to fraction form
    1,354.34/2,031.09 = 574.32/x
  3. Step 3: Cross multiply
    1,354.34x = 2,031.09 × 574.32
  4. Step 4: Simplify right side
    1,354.34x = 1,166,492.74
  5. Step 5: Solve for x
    x = 1,166,492.74/1,354.34
  6. Step 6: Final answer
    x = 861.30

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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.