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Finding the Fourth Proportional to 596.42, 823.08 and 347.72

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Solution

The fourth proportional to 596.42, 823.08 and 347.72 is: 479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.42 : 823.08 = 347.72 : x
  2. Step 2: Convert to fraction form
    596.42/823.08 = 347.72/x
  3. Step 3: Cross multiply
    596.42x = 823.08 × 347.72
  4. Step 4: Simplify right side
    596.42x = 286,201.38
  5. Step 5: Solve for x
    x = 286,201.38/596.42
  6. Step 6: Final answer
    x = 479.87

Related Problems

Find fourth proportional to 298.21, 411.54 and 173.86
Half scale
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Double scale
Find fourth proportional to 597.42, 824.46 and 348.72
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.