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Finding the Fourth Proportional to 890.73, 1,229.69 and 596.50

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Solution

The fourth proportional to 890.73, 1,229.69 and 596.50 is: 823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.73 : 1,229.69 = 596.50 : x
  2. Step 2: Convert to fraction form
    890.73/1,229.69 = 596.50/x
  3. Step 3: Cross multiply
    890.73x = 1,229.69 × 596.50
  4. Step 4: Simplify right side
    890.73x = 733,507.10
  5. Step 5: Solve for x
    x = 733,507.10/890.73
  6. Step 6: Final answer
    x = 823.49

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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.