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Finding the Fourth Proportional to 1,252.52, 1,876.64 and 886.72

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Solution

The fourth proportional to 1,252.52, 1,876.64 and 886.72 is: 1,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.52 : 1,876.64 = 886.72 : x
  2. Step 2: Convert to fraction form
    1,252.52/1,876.64 = 886.72/x
  3. Step 3: Cross multiply
    1,252.52x = 1,876.64 × 886.72
  4. Step 4: Simplify right side
    1,252.52x = 1,664,054.22
  5. Step 5: Solve for x
    x = 1,664,054.22/1,252.52
  6. Step 6: Final answer
    x = 1,328.56

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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.