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Finding the Fourth Proportional to 714.66, 986.09 and 419.82

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Solution

The fourth proportional to 714.66, 986.09 and 419.82 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.66 : 986.09 = 419.82 : x
  2. Step 2: Convert to fraction form
    714.66/986.09 = 419.82/x
  3. Step 3: Cross multiply
    714.66x = 986.09 × 419.82
  4. Step 4: Simplify right side
    714.66x = 413,978.20
  5. Step 5: Solve for x
    x = 413,978.20/714.66
  6. Step 6: Final answer
    x = 579.27

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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.