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Finding the Fourth Proportional to 596.96, 823.96 and 387.38

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Solution

The fourth proportional to 596.96, 823.96 and 387.38 is: 534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.96 : 823.96 = 387.38 : x
  2. Step 2: Convert to fraction form
    596.96/823.96 = 387.38/x
  3. Step 3: Cross multiply
    596.96x = 823.96 × 387.38
  4. Step 4: Simplify right side
    596.96x = 319,185.62
  5. Step 5: Solve for x
    x = 319,185.62/596.96
  6. Step 6: Final answer
    x = 534.69

Related Problems

Find fourth proportional to 298.48, 411.98 and 193.69
Half scale
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Double scale
Find fourth proportional to 597.96, 825.34 and 388.38
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.