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Finding the Fourth Proportional to 823.84, 1,235.96 and 580.84

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Solution

The fourth proportional to 823.84, 1,235.96 and 580.84 is: 871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.84 : 1,235.96 = 580.84 : x
  2. Step 2: Convert to fraction form
    823.84/1,235.96 = 580.84/x
  3. Step 3: Cross multiply
    823.84x = 1,235.96 × 580.84
  4. Step 4: Simplify right side
    823.84x = 717,891.19
  5. Step 5: Solve for x
    x = 717,891.19/823.84
  6. Step 6: Final answer
    x = 871.40

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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.