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Finding the Fourth Proportional to 768.69, 1,061.01 and 488.79

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Solution

The fourth proportional to 768.69, 1,061.01 and 488.79 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.69 : 1,061.01 = 488.79 : x
  2. Step 2: Convert to fraction form
    768.69/1,061.01 = 488.79/x
  3. Step 3: Cross multiply
    768.69x = 1,061.01 × 488.79
  4. Step 4: Simplify right side
    768.69x = 518,611.08
  5. Step 5: Solve for x
    x = 518,611.08/768.69
  6. Step 6: Final answer
    x = 674.67

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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.