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Finding the Fourth Proportional to 823.67, 1,136.18 and 512.63

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Solution

The fourth proportional to 823.67, 1,136.18 and 512.63 is: 707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.67 : 1,136.18 = 512.63 : x
  2. Step 2: Convert to fraction form
    823.67/1,136.18 = 512.63/x
  3. Step 3: Cross multiply
    823.67x = 1,136.18 × 512.63
  4. Step 4: Simplify right side
    823.67x = 582,439.95
  5. Step 5: Solve for x
    x = 582,439.95/823.67
  6. Step 6: Final answer
    x = 707.13

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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.