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Finding the Fourth Proportional to 1,452.88, 2,179.32 and 427.12

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Solution

The fourth proportional to 1,452.88, 2,179.32 and 427.12 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.88 : 2,179.32 = 427.12 : x
  2. Step 2: Convert to fraction form
    1,452.88/2,179.32 = 427.12/x
  3. Step 3: Cross multiply
    1,452.88x = 2,179.32 × 427.12
  4. Step 4: Simplify right side
    1,452.88x = 930,831.16
  5. Step 5: Solve for x
    x = 930,831.16/1,452.88
  6. Step 6: Final answer
    x = 640.68

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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.