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Finding the Fourth Proportional to 768.71, 1,153.07 and 220.89

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Solution

The fourth proportional to 768.71, 1,153.07 and 220.89 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.71 : 1,153.07 = 220.89 : x
  2. Step 2: Convert to fraction form
    768.71/1,153.07 = 220.89/x
  3. Step 3: Cross multiply
    768.71x = 1,153.07 × 220.89
  4. Step 4: Simplify right side
    768.71x = 254,705.63
  5. Step 5: Solve for x
    x = 254,705.63/768.71
  6. Step 6: Final answer
    x = 331.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.