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Finding the Fourth Proportional to 2,262.58, 3,393.27 and 618.74

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Solution

The fourth proportional to 2,262.58, 3,393.27 and 618.74 is: 927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.58 : 3,393.27 = 618.74 : x
  2. Step 2: Convert to fraction form
    2,262.58/3,393.27 = 618.74/x
  3. Step 3: Cross multiply
    2,262.58x = 3,393.27 × 618.74
  4. Step 4: Simplify right side
    2,262.58x = 2,099,545.90
  5. Step 5: Solve for x
    x = 2,099,545.90/2,262.58
  6. Step 6: Final answer
    x = 927.94

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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.