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Finding the Fourth Proportional to 1,169.52, 1,613.97 and 703.50

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Solution

The fourth proportional to 1,169.52, 1,613.97 and 703.50 is: 970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.52 : 1,613.97 = 703.50 : x
  2. Step 2: Convert to fraction form
    1,169.52/1,613.97 = 703.50/x
  3. Step 3: Cross multiply
    1,169.52x = 1,613.97 × 703.50
  4. Step 4: Simplify right side
    1,169.52x = 1,135,427.90
  5. Step 5: Solve for x
    x = 1,135,427.90/1,169.52
  6. Step 6: Final answer
    x = 970.85

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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.