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Finding the Fourth Proportional to 823.63, 1,136.60 and 450.60

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Solution

The fourth proportional to 823.63, 1,136.60 and 450.60 is: 621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.63 : 1,136.60 = 450.60 : x
  2. Step 2: Convert to fraction form
    823.63/1,136.60 = 450.60/x
  3. Step 3: Cross multiply
    823.63x = 1,136.60 × 450.60
  4. Step 4: Simplify right side
    823.63x = 512,151.96
  5. Step 5: Solve for x
    x = 512,151.96/823.63
  6. Step 6: Final answer
    x = 621.82

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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.