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Finding the Fourth Proportional to 828.99, 1,242.68 and 342.39

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Solution

The fourth proportional to 828.99, 1,242.68 and 342.39 is: 513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.99 : 1,242.68 = 342.39 : x
  2. Step 2: Convert to fraction form
    828.99/1,242.68 = 342.39/x
  3. Step 3: Cross multiply
    828.99x = 1,242.68 × 342.39
  4. Step 4: Simplify right side
    828.99x = 425,479.49
  5. Step 5: Solve for x
    x = 425,479.49/828.99
  6. Step 6: Final answer
    x = 513.25

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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.