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Finding the Fourth Proportional to 1,152.28, 1,728.42 and 421.86

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Solution

The fourth proportional to 1,152.28, 1,728.42 and 421.86 is: 632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.28 : 1,728.42 = 421.86 : x
  2. Step 2: Convert to fraction form
    1,152.28/1,728.42 = 421.86/x
  3. Step 3: Cross multiply
    1,152.28x = 1,728.42 × 421.86
  4. Step 4: Simplify right side
    1,152.28x = 729,151.26
  5. Step 5: Solve for x
    x = 729,151.26/1,152.28
  6. Step 6: Final answer
    x = 632.79

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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.