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Finding the Fourth Proportional to 1,169.42, 1,754 and 475.38

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Solution

The fourth proportional to 1,169.42, 1,754 and 475.38 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.42 : 1,754 = 475.38 : x
  2. Step 2: Convert to fraction form
    1,169.42/1,754 = 475.38/x
  3. Step 3: Cross multiply
    1,169.42x = 1,754 × 475.38
  4. Step 4: Simplify right side
    1,169.42x = 833,816.52
  5. Step 5: Solve for x
    x = 833,816.52/1,169.42
  6. Step 6: Final answer
    x = 713.02

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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.