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Finding the Fourth Proportional to 714.78, 986.34 and 415.98

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Solution

The fourth proportional to 714.78, 986.34 and 415.98 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.78 : 986.34 = 415.98 : x
  2. Step 2: Convert to fraction form
    714.78/986.34 = 415.98/x
  3. Step 3: Cross multiply
    714.78x = 986.34 × 415.98
  4. Step 4: Simplify right side
    714.78x = 410,297.71
  5. Step 5: Solve for x
    x = 410,297.71/714.78
  6. Step 6: Final answer
    x = 574.02

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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.