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Finding the Fourth Proportional to 1,658.31, 2,290.49 and 1,209.48

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Solution

The fourth proportional to 1,658.31, 2,290.49 and 1,209.48 is: 1,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.31 : 2,290.49 = 1,209.48 : x
  2. Step 2: Convert to fraction form
    1,658.31/2,290.49 = 1,209.48/x
  3. Step 3: Cross multiply
    1,658.31x = 2,290.49 × 1,209.48
  4. Step 4: Simplify right side
    1,658.31x = 2,770,295.80
  5. Step 5: Solve for x
    x = 2,770,295.80/1,658.31
  6. Step 6: Final answer
    x = 1,670.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.