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Finding the Fourth Proportional to 1,202.94, 1,803.15 and 768.78

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Solution

The fourth proportional to 1,202.94, 1,803.15 and 768.78 is: 1,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.94 : 1,803.15 = 768.78 : x
  2. Step 2: Convert to fraction form
    1,202.94/1,803.15 = 768.78/x
  3. Step 3: Cross multiply
    1,202.94x = 1,803.15 × 768.78
  4. Step 4: Simplify right side
    1,202.94x = 1,386,225.66
  5. Step 5: Solve for x
    x = 1,386,225.66/1,202.94
  6. Step 6: Final answer
    x = 1,152.36

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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.