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Finding the Fourth Proportional to 828.74, 1,242.30 and 342.13

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Solution

The fourth proportional to 828.74, 1,242.30 and 342.13 is: 512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,242.30 = 342.13 : x
  2. Step 2: Convert to fraction form
    828.74/1,242.30 = 342.13/x
  3. Step 3: Cross multiply
    828.74x = 1,242.30 × 342.13
  4. Step 4: Simplify right side
    828.74x = 425,028.10
  5. Step 5: Solve for x
    x = 425,028.10/828.74
  6. Step 6: Final answer
    x = 512.86

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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.