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Finding the Fourth Proportional to 999.52, 1,497.68 and 633.44

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Solution

The fourth proportional to 999.52, 1,497.68 and 633.44 is: 949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.52 : 1,497.68 = 633.44 : x
  2. Step 2: Convert to fraction form
    999.52/1,497.68 = 633.44/x
  3. Step 3: Cross multiply
    999.52x = 1,497.68 × 633.44
  4. Step 4: Simplify right side
    999.52x = 948,690.42
  5. Step 5: Solve for x
    x = 948,690.42/999.52
  6. Step 6: Final answer
    x = 949.15

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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.