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Finding the Fourth Proportional to 1,252.25, 1,878.10 and 886

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Solution

The fourth proportional to 1,252.25, 1,878.10 and 886 is: 1,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.25 : 1,878.10 = 886 : x
  2. Step 2: Convert to fraction form
    1,252.25/1,878.10 = 886/x
  3. Step 3: Cross multiply
    1,252.25x = 1,878.10 × 886
  4. Step 4: Simplify right side
    1,252.25x = 1,663,996.60
  5. Step 5: Solve for x
    x = 1,663,996.60/1,252.25
  6. Step 6: Final answer
    x = 1,328.81

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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.