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Finding the Fourth Proportional to 823.50, 1,235.12 and 579.29

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Solution

The fourth proportional to 823.50, 1,235.12 and 579.29 is: 868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,235.12 = 579.29 : x
  2. Step 2: Convert to fraction form
    823.50/1,235.12 = 579.29/x
  3. Step 3: Cross multiply
    823.50x = 1,235.12 × 579.29
  4. Step 4: Simplify right side
    823.50x = 715,483.59
  5. Step 5: Solve for x
    x = 715,483.59/823.50
  6. Step 6: Final answer
    x = 868.83

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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.