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Finding the Fourth Proportional to 1,252.03, 1,876.92 and 666.61

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Solution

The fourth proportional to 1,252.03, 1,876.92 and 666.61 is: 999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.03 : 1,876.92 = 666.61 : x
  2. Step 2: Convert to fraction form
    1,252.03/1,876.92 = 666.61/x
  3. Step 3: Cross multiply
    1,252.03x = 1,876.92 × 666.61
  4. Step 4: Simplify right side
    1,252.03x = 1,251,173.64
  5. Step 5: Solve for x
    x = 1,251,173.64/1,252.03
  6. Step 6: Final answer
    x = 999.32

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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.