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Finding the Fourth Proportional to 596.12, 823.05 and 363.38

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Solution

The fourth proportional to 596.12, 823.05 and 363.38 is: 501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 823.05 = 363.38 : x
  2. Step 2: Convert to fraction form
    596.12/823.05 = 363.38/x
  3. Step 3: Cross multiply
    596.12x = 823.05 × 363.38
  4. Step 4: Simplify right side
    596.12x = 299,075.79
  5. Step 5: Solve for x
    x = 299,075.79/596.12
  6. Step 6: Final answer
    x = 501.71

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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.