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Finding the Fourth Proportional to 1,152, 1,726.97 and 421.43

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Solution

The fourth proportional to 1,152, 1,726.97 and 421.43 is: 631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152 : 1,726.97 = 421.43 : x
  2. Step 2: Convert to fraction form
    1,152/1,726.97 = 421.43/x
  3. Step 3: Cross multiply
    1,152x = 1,726.97 × 421.43
  4. Step 4: Simplify right side
    1,152x = 727,786.23
  5. Step 5: Solve for x
    x = 727,786.23/1,152
  6. Step 6: Final answer
    x = 631.76

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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.