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Finding the Fourth Proportional to 768.15, 1,146.29 and 699.17

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Solution

The fourth proportional to 768.15, 1,146.29 and 699.17 is: 1,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.15 : 1,146.29 = 699.17 : x
  2. Step 2: Convert to fraction form
    768.15/1,146.29 = 699.17/x
  3. Step 3: Cross multiply
    768.15x = 1,146.29 × 699.17
  4. Step 4: Simplify right side
    768.15x = 801,442.35
  5. Step 5: Solve for x
    x = 801,442.35/768.15
  6. Step 6: Final answer
    x = 1,043.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.