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Finding the Fourth Proportional to 1,169.24, 1,753.79 and 347.49

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Solution

The fourth proportional to 1,169.24, 1,753.79 and 347.49 is: 521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.24 : 1,753.79 = 347.49 : x
  2. Step 2: Convert to fraction form
    1,169.24/1,753.79 = 347.49/x
  3. Step 3: Cross multiply
    1,169.24x = 1,753.79 × 347.49
  4. Step 4: Simplify right side
    1,169.24x = 609,422.75
  5. Step 5: Solve for x
    x = 609,422.75/1,169.24
  6. Step 6: Final answer
    x = 521.21

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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.