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Finding the Fourth Proportional to 1,152.33, 1,728.66 and 421.73

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Solution

The fourth proportional to 1,152.33, 1,728.66 and 421.73 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.33 : 1,728.66 = 421.73 : x
  2. Step 2: Convert to fraction form
    1,152.33/1,728.66 = 421.73/x
  3. Step 3: Cross multiply
    1,152.33x = 1,728.66 × 421.73
  4. Step 4: Simplify right side
    1,152.33x = 729,027.78
  5. Step 5: Solve for x
    x = 729,027.78/1,152.33
  6. Step 6: Final answer
    x = 632.66

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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.