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Finding the Fourth Proportional to 1,691.10, 2,536.44 and 458.46

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Solution

The fourth proportional to 1,691.10, 2,536.44 and 458.46 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.10 : 2,536.44 = 458.46 : x
  2. Step 2: Convert to fraction form
    1,691.10/2,536.44 = 458.46/x
  3. Step 3: Cross multiply
    1,691.10x = 2,536.44 × 458.46
  4. Step 4: Simplify right side
    1,691.10x = 1,162,856.28
  5. Step 5: Solve for x
    x = 1,162,856.28/1,691.10
  6. Step 6: Final answer
    x = 687.63

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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.