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Finding the Fourth Proportional to 828.74, 1,243.89 and 597.86

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Solution

The fourth proportional to 828.74, 1,243.89 and 597.86 is: 897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,243.89 = 597.86 : x
  2. Step 2: Convert to fraction form
    828.74/1,243.89 = 597.86/x
  3. Step 3: Cross multiply
    828.74x = 1,243.89 × 597.86
  4. Step 4: Simplify right side
    828.74x = 743,672.08
  5. Step 5: Solve for x
    x = 743,672.08/828.74
  6. Step 6: Final answer
    x = 897.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.