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Finding the Fourth Proportional to 1,205.78, 1,803.90 and 959.78

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Solution

The fourth proportional to 1,205.78, 1,803.90 and 959.78 is: 1,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.78 : 1,803.90 = 959.78 : x
  2. Step 2: Convert to fraction form
    1,205.78/1,803.90 = 959.78/x
  3. Step 3: Cross multiply
    1,205.78x = 1,803.90 × 959.78
  4. Step 4: Simplify right side
    1,205.78x = 1,731,347.14
  5. Step 5: Solve for x
    x = 1,731,347.14/1,205.78
  6. Step 6: Final answer
    x = 1,435.87

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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.