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Finding the Fourth Proportional to 1,253.60, 1,726.62 and 1,087.82

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Solution

The fourth proportional to 1,253.60, 1,726.62 and 1,087.82 is: 1,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.60 : 1,726.62 = 1,087.82 : x
  2. Step 2: Convert to fraction form
    1,253.60/1,726.62 = 1,087.82/x
  3. Step 3: Cross multiply
    1,253.60x = 1,726.62 × 1,087.82
  4. Step 4: Simplify right side
    1,253.60x = 1,878,251.77
  5. Step 5: Solve for x
    x = 1,878,251.77/1,253.60
  6. Step 6: Final answer
    x = 1,498.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.