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Finding the Fourth Proportional to 828.52, 1,242.72 and 360.04

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Solution

The fourth proportional to 828.52, 1,242.72 and 360.04 is: 540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.52 : 1,242.72 = 360.04 : x
  2. Step 2: Convert to fraction form
    828.52/1,242.72 = 360.04/x
  3. Step 3: Cross multiply
    828.52x = 1,242.72 × 360.04
  4. Step 4: Simplify right side
    828.52x = 447,428.91
  5. Step 5: Solve for x
    x = 447,428.91/828.52
  6. Step 6: Final answer
    x = 540.03

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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.