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Finding the Fourth Proportional to 823.03, 1,234.82 and 515.10

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Solution

The fourth proportional to 823.03, 1,234.82 and 515.10 is: 772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,234.82 = 515.10 : x
  2. Step 2: Convert to fraction form
    823.03/1,234.82 = 515.10/x
  3. Step 3: Cross multiply
    823.03x = 1,234.82 × 515.10
  4. Step 4: Simplify right side
    823.03x = 636,055.78
  5. Step 5: Solve for x
    x = 636,055.78/823.03
  6. Step 6: Final answer
    x = 772.82

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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.