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Finding the Fourth Proportional to 828.73, 1,242.75 and 366.19

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Solution

The fourth proportional to 828.73, 1,242.75 and 366.19 is: 549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.73 : 1,242.75 = 366.19 : x
  2. Step 2: Convert to fraction form
    828.73/1,242.75 = 366.19/x
  3. Step 3: Cross multiply
    828.73x = 1,242.75 × 366.19
  4. Step 4: Simplify right side
    828.73x = 455,080.89
  5. Step 5: Solve for x
    x = 455,080.89/828.73
  6. Step 6: Final answer
    x = 549.13

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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.