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Finding the Fourth Proportional to 437.81, 657.61 and 423.23

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Solution

The fourth proportional to 437.81, 657.61 and 423.23 is: 635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 657.61 = 423.23 : x
  2. Step 2: Convert to fraction form
    437.81/657.61 = 423.23/x
  3. Step 3: Cross multiply
    437.81x = 657.61 × 423.23
  4. Step 4: Simplify right side
    437.81x = 278,315.93
  5. Step 5: Solve for x
    x = 278,315.93/437.81
  6. Step 6: Final answer
    x = 635.71

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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.