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Finding the Fourth Proportional to 829.75, 1,243.54 and 342.13

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Solution

The fourth proportional to 829.75, 1,243.54 and 342.13 is: 512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.75 : 1,243.54 = 342.13 : x
  2. Step 2: Convert to fraction form
    829.75/1,243.54 = 342.13/x
  3. Step 3: Cross multiply
    829.75x = 1,243.54 × 342.13
  4. Step 4: Simplify right side
    829.75x = 425,444.41
  5. Step 5: Solve for x
    x = 425,444.41/829.75
  6. Step 6: Final answer
    x = 512.74

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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.