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Finding the Fourth Proportional to 1,705.90, 2,354.12 and 949.68

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Solution

The fourth proportional to 1,705.90, 2,354.12 and 949.68 is: 1,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.90 : 2,354.12 = 949.68 : x
  2. Step 2: Convert to fraction form
    1,705.90/2,354.12 = 949.68/x
  3. Step 3: Cross multiply
    1,705.90x = 2,354.12 × 949.68
  4. Step 4: Simplify right side
    1,705.90x = 2,235,660.68
  5. Step 5: Solve for x
    x = 2,235,660.68/1,705.90
  6. Step 6: Final answer
    x = 1,310.55

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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.