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Finding the Fourth Proportional to 823.23, 1,235.10 and 514.66

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Solution

The fourth proportional to 823.23, 1,235.10 and 514.66 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.23 : 1,235.10 = 514.66 : x
  2. Step 2: Convert to fraction form
    823.23/1,235.10 = 514.66/x
  3. Step 3: Cross multiply
    823.23x = 1,235.10 × 514.66
  4. Step 4: Simplify right side
    823.23x = 635,656.57
  5. Step 5: Solve for x
    x = 635,656.57/823.23
  6. Step 6: Final answer
    x = 772.15

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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.