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Finding the Fourth Proportional to 828.60, 1,243.17 and 366.50

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Solution

The fourth proportional to 828.60, 1,243.17 and 366.50 is: 549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.60 : 1,243.17 = 366.50 : x
  2. Step 2: Convert to fraction form
    828.60/1,243.17 = 366.50/x
  3. Step 3: Cross multiply
    828.60x = 1,243.17 × 366.50
  4. Step 4: Simplify right side
    828.60x = 455,621.81
  5. Step 5: Solve for x
    x = 455,621.81/828.60
  6. Step 6: Final answer
    x = 549.87

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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.