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Finding the Fourth Proportional to 2,257.37, 3,385.80 and 614.05

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Solution

The fourth proportional to 2,257.37, 3,385.80 and 614.05 is: 921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.37 : 3,385.80 = 614.05 : x
  2. Step 2: Convert to fraction form
    2,257.37/3,385.80 = 614.05/x
  3. Step 3: Cross multiply
    2,257.37x = 3,385.80 × 614.05
  4. Step 4: Simplify right side
    2,257.37x = 2,079,050.49
  5. Step 5: Solve for x
    x = 2,079,050.49/2,257.37
  6. Step 6: Final answer
    x = 921.01

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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.