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Finding the Fourth Proportional to 1,695.43, 2,339.80 and 949.43

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Solution

The fourth proportional to 1,695.43, 2,339.80 and 949.43 is: 1,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.43 : 2,339.80 = 949.43 : x
  2. Step 2: Convert to fraction form
    1,695.43/2,339.80 = 949.43/x
  3. Step 3: Cross multiply
    1,695.43x = 2,339.80 × 949.43
  4. Step 4: Simplify right side
    1,695.43x = 2,221,479.79
  5. Step 5: Solve for x
    x = 2,221,479.79/1,695.43
  6. Step 6: Final answer
    x = 1,310.28

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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.