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Finding the Fourth Proportional to 1,228.57, 1,840.38 and 610.40

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Solution

The fourth proportional to 1,228.57, 1,840.38 and 610.40 is: 914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.57 : 1,840.38 = 610.40 : x
  2. Step 2: Convert to fraction form
    1,228.57/1,840.38 = 610.40/x
  3. Step 3: Cross multiply
    1,228.57x = 1,840.38 × 610.40
  4. Step 4: Simplify right side
    1,228.57x = 1,123,367.95
  5. Step 5: Solve for x
    x = 1,123,367.95/1,228.57
  6. Step 6: Final answer
    x = 914.37

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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.