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Finding the Fourth Proportional to 768.78, 1,060.90 and 419.46

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Solution

The fourth proportional to 768.78, 1,060.90 and 419.46 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.78 : 1,060.90 = 419.46 : x
  2. Step 2: Convert to fraction form
    768.78/1,060.90 = 419.46/x
  3. Step 3: Cross multiply
    768.78x = 1,060.90 × 419.46
  4. Step 4: Simplify right side
    768.78x = 445,005.11
  5. Step 5: Solve for x
    x = 445,005.11/768.78
  6. Step 6: Final answer
    x = 578.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.