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Finding the Fourth Proportional to 1,642.90, 2,267.15 and 979.41

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Solution

The fourth proportional to 1,642.90, 2,267.15 and 979.41 is: 1,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.90 : 2,267.15 = 979.41 : x
  2. Step 2: Convert to fraction form
    1,642.90/2,267.15 = 979.41/x
  3. Step 3: Cross multiply
    1,642.90x = 2,267.15 × 979.41
  4. Step 4: Simplify right side
    1,642.90x = 2,220,469.38
  5. Step 5: Solve for x
    x = 2,220,469.38/1,642.90
  6. Step 6: Final answer
    x = 1,351.55

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1.5x scale

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.