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Finding the Fourth Proportional to 768.23, 1,060.16 and 418.91

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Solution

The fourth proportional to 768.23, 1,060.16 and 418.91 is: 578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.23 : 1,060.16 = 418.91 : x
  2. Step 2: Convert to fraction form
    768.23/1,060.16 = 418.91/x
  3. Step 3: Cross multiply
    768.23x = 1,060.16 × 418.91
  4. Step 4: Simplify right side
    768.23x = 444,109.53
  5. Step 5: Solve for x
    x = 444,109.53/768.23
  6. Step 6: Final answer
    x = 578.09

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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.