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Finding the Fourth Proportional to 1,354.06, 2,031.02 and 476.61

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Solution

The fourth proportional to 1,354.06, 2,031.02 and 476.61 is: 714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.06 : 2,031.02 = 476.61 : x
  2. Step 2: Convert to fraction form
    1,354.06/2,031.02 = 476.61/x
  3. Step 3: Cross multiply
    1,354.06x = 2,031.02 × 476.61
  4. Step 4: Simplify right side
    1,354.06x = 967,991.90
  5. Step 5: Solve for x
    x = 967,991.90/1,354.06
  6. Step 6: Final answer
    x = 714.88

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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.