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Finding the Fourth Proportional to 596.77, 823.54 and 363.89

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Solution

The fourth proportional to 596.77, 823.54 and 363.89 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.77 : 823.54 = 363.89 : x
  2. Step 2: Convert to fraction form
    596.77/823.54 = 363.89/x
  3. Step 3: Cross multiply
    596.77x = 823.54 × 363.89
  4. Step 4: Simplify right side
    596.77x = 299,679.12
  5. Step 5: Solve for x
    x = 299,679.12/596.77
  6. Step 6: Final answer
    x = 502.17

Related Problems

Find fourth proportional to 298.38, 411.77 and 181.95
Half scale
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Double scale
Find fourth proportional to 597.77, 824.92 and 364.89
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.