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Finding the Fourth Proportional to 596.45, 823.07 and 330.88

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Solution

The fourth proportional to 596.45, 823.07 and 330.88 is: 456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 823.07 = 330.88 : x
  2. Step 2: Convert to fraction form
    596.45/823.07 = 330.88/x
  3. Step 3: Cross multiply
    596.45x = 823.07 × 330.88
  4. Step 4: Simplify right side
    596.45x = 272,335.85
  5. Step 5: Solve for x
    x = 272,335.85/596.45
  6. Step 6: Final answer
    x = 456.60

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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.