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Finding the Fourth Proportional to 1,001.60, 1,502.41 and 453.14

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Solution

The fourth proportional to 1,001.60, 1,502.41 and 453.14 is: 679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.60 : 1,502.41 = 453.14 : x
  2. Step 2: Convert to fraction form
    1,001.60/1,502.41 = 453.14/x
  3. Step 3: Cross multiply
    1,001.60x = 1,502.41 × 453.14
  4. Step 4: Simplify right side
    1,001.60x = 680,799.80
  5. Step 5: Solve for x
    x = 680,799.80/1,001.60
  6. Step 6: Final answer
    x = 679.71

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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.