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Finding the Fourth Proportional to 423.68, 587.32 and 416.09

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Solution

The fourth proportional to 423.68, 587.32 and 416.09 is: 576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 587.32 = 416.09 : x
  2. Step 2: Convert to fraction form
    423.68/587.32 = 416.09/x
  3. Step 3: Cross multiply
    423.68x = 587.32 × 416.09
  4. Step 4: Simplify right side
    423.68x = 244,378.41
  5. Step 5: Solve for x
    x = 244,378.41/423.68
  6. Step 6: Final answer
    x = 576.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.