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Finding the Fourth Proportional to 1,743.42, 2,616.17 and 703.29

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Solution

The fourth proportional to 1,743.42, 2,616.17 and 703.29 is: 1,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.42 : 2,616.17 = 703.29 : x
  2. Step 2: Convert to fraction form
    1,743.42/2,616.17 = 703.29/x
  3. Step 3: Cross multiply
    1,743.42x = 2,616.17 × 703.29
  4. Step 4: Simplify right side
    1,743.42x = 1,839,922.68
  5. Step 5: Solve for x
    x = 1,839,922.68/1,743.42
  6. Step 6: Final answer
    x = 1,055.35

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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.