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Finding the Fourth Proportional to 596.72, 823.55 and 334.75

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Solution

The fourth proportional to 596.72, 823.55 and 334.75 is: 462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 823.55 = 334.75 : x
  2. Step 2: Convert to fraction form
    596.72/823.55 = 334.75/x
  3. Step 3: Cross multiply
    596.72x = 823.55 × 334.75
  4. Step 4: Simplify right side
    596.72x = 275,683.36
  5. Step 5: Solve for x
    x = 275,683.36/596.72
  6. Step 6: Final answer
    x = 462.00

Related Problems

Find fourth proportional to 298.36, 411.78 and 167.38
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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.