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Finding the Fourth Proportional to 1,314.82, 1,972.53 and 449.13

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Solution

The fourth proportional to 1,314.82, 1,972.53 and 449.13 is: 673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.82 : 1,972.53 = 449.13 : x
  2. Step 2: Convert to fraction form
    1,314.82/1,972.53 = 449.13/x
  3. Step 3: Cross multiply
    1,314.82x = 1,972.53 × 449.13
  4. Step 4: Simplify right side
    1,314.82x = 885,922.40
  5. Step 5: Solve for x
    x = 885,922.40/1,314.82
  6. Step 6: Final answer
    x = 673.80

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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.