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Finding the Fourth Proportional to 714.78, 986.49 and 400.17

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Solution

The fourth proportional to 714.78, 986.49 and 400.17 is: 552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.78 : 986.49 = 400.17 : x
  2. Step 2: Convert to fraction form
    714.78/986.49 = 400.17/x
  3. Step 3: Cross multiply
    714.78x = 986.49 × 400.17
  4. Step 4: Simplify right side
    714.78x = 394,759.64
  5. Step 5: Solve for x
    x = 394,759.64/714.78
  6. Step 6: Final answer
    x = 552.28

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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.