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Finding the Fourth Proportional to 823.15, 1,136.03 and 450.18

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Solution

The fourth proportional to 823.15, 1,136.03 and 450.18 is: 621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.15 : 1,136.03 = 450.18 : x
  2. Step 2: Convert to fraction form
    823.15/1,136.03 = 450.18/x
  3. Step 3: Cross multiply
    823.15x = 1,136.03 × 450.18
  4. Step 4: Simplify right side
    823.15x = 511,419.99
  5. Step 5: Solve for x
    x = 511,419.99/823.15
  6. Step 6: Final answer
    x = 621.30

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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.