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Finding the Fourth Proportional to 423.72, 632.25 and 375.12

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Solution

The fourth proportional to 423.72, 632.25 and 375.12 is: 559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.72 : 632.25 = 375.12 : x
  2. Step 2: Convert to fraction form
    423.72/632.25 = 375.12/x
  3. Step 3: Cross multiply
    423.72x = 632.25 × 375.12
  4. Step 4: Simplify right side
    423.72x = 237,169.62
  5. Step 5: Solve for x
    x = 237,169.62/423.72
  6. Step 6: Final answer
    x = 559.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.