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Finding the Fourth Proportional to 596.75, 823.52 and 363.92

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Solution

The fourth proportional to 596.75, 823.52 and 363.92 is: 502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.75 : 823.52 = 363.92 : x
  2. Step 2: Convert to fraction form
    596.75/823.52 = 363.92/x
  3. Step 3: Cross multiply
    596.75x = 823.52 × 363.92
  4. Step 4: Simplify right side
    596.75x = 299,695.40
  5. Step 5: Solve for x
    x = 299,695.40/596.75
  6. Step 6: Final answer
    x = 502.21

Related Problems

Find fourth proportional to 298.38, 411.76 and 181.96
Half scale
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Double scale
Find fourth proportional to 597.75, 824.90 and 364.92
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.