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Finding the Fourth Proportional to 768.49, 1,153.64 and 606.29

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Solution

The fourth proportional to 768.49, 1,153.64 and 606.29 is: 910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.49 : 1,153.64 = 606.29 : x
  2. Step 2: Convert to fraction form
    768.49/1,153.64 = 606.29/x
  3. Step 3: Cross multiply
    768.49x = 1,153.64 × 606.29
  4. Step 4: Simplify right side
    768.49x = 699,436.14
  5. Step 5: Solve for x
    x = 699,436.14/768.49
  6. Step 6: Final answer
    x = 910.15

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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.