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Finding the Fourth Proportional to 714.91, 986.56 and 416.22

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Solution

The fourth proportional to 714.91, 986.56 and 416.22 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.91 : 986.56 = 416.22 : x
  2. Step 2: Convert to fraction form
    714.91/986.56 = 416.22/x
  3. Step 3: Cross multiply
    714.91x = 986.56 × 416.22
  4. Step 4: Simplify right side
    714.91x = 410,622.82
  5. Step 5: Solve for x
    x = 410,622.82/714.91
  6. Step 6: Final answer
    x = 574.37

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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.