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Finding the Fourth Proportional to 714.78, 986.31 and 400.02

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Solution

The fourth proportional to 714.78, 986.31 and 400.02 is: 551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.78 : 986.31 = 400.02 : x
  2. Step 2: Convert to fraction form
    714.78/986.31 = 400.02/x
  3. Step 3: Cross multiply
    714.78x = 986.31 × 400.02
  4. Step 4: Simplify right side
    714.78x = 394,543.73
  5. Step 5: Solve for x
    x = 394,543.73/714.78
  6. Step 6: Final answer
    x = 551.98

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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.