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Finding the Fourth Proportional to 823.31, 1,136.13 and 450.30

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Solution

The fourth proportional to 823.31, 1,136.13 and 450.30 is: 621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.31 : 1,136.13 = 450.30 : x
  2. Step 2: Convert to fraction form
    823.31/1,136.13 = 450.30/x
  3. Step 3: Cross multiply
    823.31x = 1,136.13 × 450.30
  4. Step 4: Simplify right side
    823.31x = 511,593.92
  5. Step 5: Solve for x
    x = 511,593.92/823.31
  6. Step 6: Final answer
    x = 621.38

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1.5x scale

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.