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Finding the Fourth Proportional to 1,498.51, 2,248.15 and 458.47

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Solution

The fourth proportional to 1,498.51, 2,248.15 and 458.47 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.51 : 2,248.15 = 458.47 : x
  2. Step 2: Convert to fraction form
    1,498.51/2,248.15 = 458.47/x
  3. Step 3: Cross multiply
    1,498.51x = 2,248.15 × 458.47
  4. Step 4: Simplify right side
    1,498.51x = 1,030,704.24
  5. Step 5: Solve for x
    x = 1,030,704.24/1,498.51
  6. Step 6: Final answer
    x = 687.82

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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.