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Finding the Fourth Proportional to 823.20, 1,136 and 450.19

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Solution

The fourth proportional to 823.20, 1,136 and 450.19 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.20 : 1,136 = 450.19 : x
  2. Step 2: Convert to fraction form
    823.20/1,136 = 450.19/x
  3. Step 3: Cross multiply
    823.20x = 1,136 × 450.19
  4. Step 4: Simplify right side
    823.20x = 511,415.84
  5. Step 5: Solve for x
    x = 511,415.84/823.20
  6. Step 6: Final answer
    x = 621.25

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Double scale
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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.