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Finding the Fourth Proportional to 1,150.88, 1,726.50 and 420.36

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Solution

The fourth proportional to 1,150.88, 1,726.50 and 420.36 is: 630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.88 : 1,726.50 = 420.36 : x
  2. Step 2: Convert to fraction form
    1,150.88/1,726.50 = 420.36/x
  3. Step 3: Cross multiply
    1,150.88x = 1,726.50 × 420.36
  4. Step 4: Simplify right side
    1,150.88x = 725,751.54
  5. Step 5: Solve for x
    x = 725,751.54/1,150.88
  6. Step 6: Final answer
    x = 630.61

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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.