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Finding the Fourth Proportional to 714.36, 985.82 and 419.66

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Solution

The fourth proportional to 714.36, 985.82 and 419.66 is: 579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.36 : 985.82 = 419.66 : x
  2. Step 2: Convert to fraction form
    714.36/985.82 = 419.66/x
  3. Step 3: Cross multiply
    714.36x = 985.82 × 419.66
  4. Step 4: Simplify right side
    714.36x = 413,709.22
  5. Step 5: Solve for x
    x = 413,709.22/714.36
  6. Step 6: Final answer
    x = 579.13

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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.