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Finding the Fourth Proportional to 871.07, 1,306.44 and 377.19

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Solution

The fourth proportional to 871.07, 1,306.44 and 377.19 is: 565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.07 : 1,306.44 = 377.19 : x
  2. Step 2: Convert to fraction form
    871.07/1,306.44 = 377.19/x
  3. Step 3: Cross multiply
    871.07x = 1,306.44 × 377.19
  4. Step 4: Simplify right side
    871.07x = 492,771.20
  5. Step 5: Solve for x
    x = 492,771.20/871.07
  6. Step 6: Final answer
    x = 565.71

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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.