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Finding the Fourth Proportional to 2,558.77, 3,837.85 and 803.70

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Solution

The fourth proportional to 2,558.77, 3,837.85 and 803.70 is: 1,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.77 : 3,837.85 = 803.70 : x
  2. Step 2: Convert to fraction form
    2,558.77/3,837.85 = 803.70/x
  3. Step 3: Cross multiply
    2,558.77x = 3,837.85 × 803.70
  4. Step 4: Simplify right side
    2,558.77x = 3,084,480.05
  5. Step 5: Solve for x
    x = 3,084,480.05/2,558.77
  6. Step 6: Final answer
    x = 1,205.45

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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.