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Finding the Fourth Proportional to 996.72, 1,494.20 and 509.52

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Solution

The fourth proportional to 996.72, 1,494.20 and 509.52 is: 763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.72 : 1,494.20 = 509.52 : x
  2. Step 2: Convert to fraction form
    996.72/1,494.20 = 509.52/x
  3. Step 3: Cross multiply
    996.72x = 1,494.20 × 509.52
  4. Step 4: Simplify right side
    996.72x = 761,324.78
  5. Step 5: Solve for x
    x = 761,324.78/996.72
  6. Step 6: Final answer
    x = 763.83

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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.