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Finding the Fourth Proportional to 823.32, 1,136.82 and 761.10

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Solution

The fourth proportional to 823.32, 1,136.82 and 761.10 is: 1,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.32 : 1,136.82 = 761.10 : x
  2. Step 2: Convert to fraction form
    823.32/1,136.82 = 761.10/x
  3. Step 3: Cross multiply
    823.32x = 1,136.82 × 761.10
  4. Step 4: Simplify right side
    823.32x = 865,233.70
  5. Step 5: Solve for x
    x = 865,233.70/823.32
  6. Step 6: Final answer
    x = 1,050.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.