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Finding the Fourth Proportional to 1,498.62, 2,248.17 and 458.38

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Solution

The fourth proportional to 1,498.62, 2,248.17 and 458.38 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.62 : 2,248.17 = 458.38 : x
  2. Step 2: Convert to fraction form
    1,498.62/2,248.17 = 458.38/x
  3. Step 3: Cross multiply
    1,498.62x = 2,248.17 × 458.38
  4. Step 4: Simplify right side
    1,498.62x = 1,030,507.19
  5. Step 5: Solve for x
    x = 1,030,507.19/1,498.62
  6. Step 6: Final answer
    x = 687.64

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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.