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Finding the Fourth Proportional to 1,151.87, 1,726.44 and 420.82

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Solution

The fourth proportional to 1,151.87, 1,726.44 and 420.82 is: 630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.87 : 1,726.44 = 420.82 : x
  2. Step 2: Convert to fraction form
    1,151.87/1,726.44 = 420.82/x
  3. Step 3: Cross multiply
    1,151.87x = 1,726.44 × 420.82
  4. Step 4: Simplify right side
    1,151.87x = 726,520.63
  5. Step 5: Solve for x
    x = 726,520.63/1,151.87
  6. Step 6: Final answer
    x = 630.73

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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.