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Finding the Fourth Proportional to 768.80, 1,060.90 and 419.42

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Solution

The fourth proportional to 768.80, 1,060.90 and 419.42 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.80 : 1,060.90 = 419.42 : x
  2. Step 2: Convert to fraction form
    768.80/1,060.90 = 419.42/x
  3. Step 3: Cross multiply
    768.80x = 1,060.90 × 419.42
  4. Step 4: Simplify right side
    768.80x = 444,956.32
  5. Step 5: Solve for x
    x = 444,956.32/768.80
  6. Step 6: Final answer
    x = 578.77

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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.