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Finding the Fourth Proportional to 1,033.20, 1,546.74 and 666.90

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Solution

The fourth proportional to 1,033.20, 1,546.74 and 666.90 is: 998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.20 : 1,546.74 = 666.90 : x
  2. Step 2: Convert to fraction form
    1,033.20/1,546.74 = 666.90/x
  3. Step 3: Cross multiply
    1,033.20x = 1,546.74 × 666.90
  4. Step 4: Simplify right side
    1,033.20x = 1,031,520.91
  5. Step 5: Solve for x
    x = 1,031,520.91/1,033.20
  6. Step 6: Final answer
    x = 998.37

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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.