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Finding the Fourth Proportional to 768.42, 1,060.43 and 419.12

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Solution

The fourth proportional to 768.42, 1,060.43 and 419.12 is: 578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.42 : 1,060.43 = 419.12 : x
  2. Step 2: Convert to fraction form
    768.42/1,060.43 = 419.12/x
  3. Step 3: Cross multiply
    768.42x = 1,060.43 × 419.12
  4. Step 4: Simplify right side
    768.42x = 444,447.42
  5. Step 5: Solve for x
    x = 444,447.42/768.42
  6. Step 6: Final answer
    x = 578.39

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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.