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Finding the Fourth Proportional to 714.20, 985.54 and 419.43

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Solution

The fourth proportional to 714.20, 985.54 and 419.43 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.20 : 985.54 = 419.43 : x
  2. Step 2: Convert to fraction form
    714.20/985.54 = 419.43/x
  3. Step 3: Cross multiply
    714.20x = 985.54 × 419.43
  4. Step 4: Simplify right side
    714.20x = 413,360.11
  5. Step 5: Solve for x
    x = 413,360.11/714.20
  6. Step 6: Final answer
    x = 578.78

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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.