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Finding the Fourth Proportional to 1,169.12, 1,753.22 and 438.30

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Solution

The fourth proportional to 1,169.12, 1,753.22 and 438.30 is: 657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.12 : 1,753.22 = 438.30 : x
  2. Step 2: Convert to fraction form
    1,169.12/1,753.22 = 438.30/x
  3. Step 3: Cross multiply
    1,169.12x = 1,753.22 × 438.30
  4. Step 4: Simplify right side
    1,169.12x = 768,437.42
  5. Step 5: Solve for x
    x = 768,437.42/1,169.12
  6. Step 6: Final answer
    x = 657.28

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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.