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Finding the Fourth Proportional to 823.60, 1,238.10 and 581.80

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Solution

The fourth proportional to 823.60, 1,238.10 and 581.80 is: 874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.60 : 1,238.10 = 581.80 : x
  2. Step 2: Convert to fraction form
    823.60/1,238.10 = 581.80/x
  3. Step 3: Cross multiply
    823.60x = 1,238.10 × 581.80
  4. Step 4: Simplify right side
    823.60x = 720,326.58
  5. Step 5: Solve for x
    x = 720,326.58/823.60
  6. Step 6: Final answer
    x = 874.61

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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.