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Finding the Fourth Proportional to 596.38, 823.08 and 363.37

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Solution

The fourth proportional to 596.38, 823.08 and 363.37 is: 501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.38 : 823.08 = 363.37 : x
  2. Step 2: Convert to fraction form
    596.38/823.08 = 363.37/x
  3. Step 3: Cross multiply
    596.38x = 823.08 × 363.37
  4. Step 4: Simplify right side
    596.38x = 299,082.58
  5. Step 5: Solve for x
    x = 299,082.58/596.38
  6. Step 6: Final answer
    x = 501.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 597.38, 824.46 and 364.37
Similar ratio
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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.