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Finding the Fourth Proportional to 999.65, 1,498.80 and 513.11

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Solution

The fourth proportional to 999.65, 1,498.80 and 513.11 is: 769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.65 : 1,498.80 = 513.11 : x
  2. Step 2: Convert to fraction form
    999.65/1,498.80 = 513.11/x
  3. Step 3: Cross multiply
    999.65x = 1,498.80 × 513.11
  4. Step 4: Simplify right side
    999.65x = 769,049.27
  5. Step 5: Solve for x
    x = 769,049.27/999.65
  6. Step 6: Final answer
    x = 769.32

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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.