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Finding the Fourth Proportional to 596.24, 822.76 and 330.68

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Solution

The fourth proportional to 596.24, 822.76 and 330.68 is: 456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 822.76 = 330.68 : x
  2. Step 2: Convert to fraction form
    596.24/822.76 = 330.68/x
  3. Step 3: Cross multiply
    596.24x = 822.76 × 330.68
  4. Step 4: Simplify right side
    596.24x = 272,066.88
  5. Step 5: Solve for x
    x = 272,066.88/596.24
  6. Step 6: Final answer
    x = 456.31

Related Problems

Find fourth proportional to 298.12, 411.38 and 165.34
Half scale
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Double scale
Find fourth proportional to 597.24, 824.14 and 331.68
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.