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Finding the Fourth Proportional to 1,491.78, 2,237.77 and 396.13

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Solution

The fourth proportional to 1,491.78, 2,237.77 and 396.13 is: 594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.78 : 2,237.77 = 396.13 : x
  2. Step 2: Convert to fraction form
    1,491.78/2,237.77 = 396.13/x
  3. Step 3: Cross multiply
    1,491.78x = 2,237.77 × 396.13
  4. Step 4: Simplify right side
    1,491.78x = 886,447.83
  5. Step 5: Solve for x
    x = 886,447.83/1,491.78
  6. Step 6: Final answer
    x = 594.22

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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.