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Finding the Fourth Proportional to 721.44, 994.56 and 511.44

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Solution

The fourth proportional to 721.44, 994.56 and 511.44 is: 705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.44 : 994.56 = 511.44 : x
  2. Step 2: Convert to fraction form
    721.44/994.56 = 511.44/x
  3. Step 3: Cross multiply
    721.44x = 994.56 × 511.44
  4. Step 4: Simplify right side
    721.44x = 508,657.77
  5. Step 5: Solve for x
    x = 508,657.77/721.44
  6. Step 6: Final answer
    x = 705.06

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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.