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Finding the Fourth Proportional to 1,122.98, 1,684.25 and 342.79

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Solution

The fourth proportional to 1,122.98, 1,684.25 and 342.79 is: 514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.98 : 1,684.25 = 342.79 : x
  2. Step 2: Convert to fraction form
    1,122.98/1,684.25 = 342.79/x
  3. Step 3: Cross multiply
    1,122.98x = 1,684.25 × 342.79
  4. Step 4: Simplify right side
    1,122.98x = 577,338.13
  5. Step 5: Solve for x
    x = 577,338.13/1,122.98
  6. Step 6: Final answer
    x = 514.11

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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.