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Finding the Fourth Proportional to 768.53, 1,060.43 and 489.15

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Solution

The fourth proportional to 768.53, 1,060.43 and 489.15 is: 674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.53 : 1,060.43 = 489.15 : x
  2. Step 2: Convert to fraction form
    768.53/1,060.43 = 489.15/x
  3. Step 3: Cross multiply
    768.53x = 1,060.43 × 489.15
  4. Step 4: Simplify right side
    768.53x = 518,709.33
  5. Step 5: Solve for x
    x = 518,709.33/768.53
  6. Step 6: Final answer
    x = 674.94

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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.