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Finding the Fourth Proportional to 1,252.11, 1,874.10 and 666.30

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Solution

The fourth proportional to 1,252.11, 1,874.10 and 666.30 is: 997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.11 : 1,874.10 = 666.30 : x
  2. Step 2: Convert to fraction form
    1,252.11/1,874.10 = 666.30/x
  3. Step 3: Cross multiply
    1,252.11x = 1,874.10 × 666.30
  4. Step 4: Simplify right side
    1,252.11x = 1,248,712.83
  5. Step 5: Solve for x
    x = 1,248,712.83/1,252.11
  6. Step 6: Final answer
    x = 997.29

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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.