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Finding the Fourth Proportional to 599.33, 827.31 and 550.13

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Solution

The fourth proportional to 599.33, 827.31 and 550.13 is: 759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.33 : 827.31 = 550.13 : x
  2. Step 2: Convert to fraction form
    599.33/827.31 = 550.13/x
  3. Step 3: Cross multiply
    599.33x = 827.31 × 550.13
  4. Step 4: Simplify right side
    599.33x = 455,123.91
  5. Step 5: Solve for x
    x = 455,123.91/599.33
  6. Step 6: Final answer
    x = 759.39

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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.