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Finding the Fourth Proportional to 596.68, 823.56 and 400.76

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Solution

The fourth proportional to 596.68, 823.56 and 400.76 is: 553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 823.56 = 400.76 : x
  2. Step 2: Convert to fraction form
    596.68/823.56 = 400.76/x
  3. Step 3: Cross multiply
    596.68x = 823.56 × 400.76
  4. Step 4: Simplify right side
    596.68x = 330,049.91
  5. Step 5: Solve for x
    x = 330,049.91/596.68
  6. Step 6: Final answer
    x = 553.14

Related Problems

Find fourth proportional to 298.34, 411.78 and 200.38
Half scale
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Double scale
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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.