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Finding the Fourth Proportional to 596.76, 823.49 and 331.20

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Solution

The fourth proportional to 596.76, 823.49 and 331.20 is: 457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 823.49 = 331.20 : x
  2. Step 2: Convert to fraction form
    596.76/823.49 = 331.20/x
  3. Step 3: Cross multiply
    596.76x = 823.49 × 331.20
  4. Step 4: Simplify right side
    596.76x = 272,738.23
  5. Step 5: Solve for x
    x = 272,738.23/596.76
  6. Step 6: Final answer
    x = 457.03

Related Problems

Find fourth proportional to 298.38, 411.74 and 165.60
Half scale
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Double scale
Find fourth proportional to 597.76, 824.86 and 332.20
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.