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Finding the Fourth Proportional to 698.00, 963.28 and 418.24

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Solution

The fourth proportional to 698.00, 963.28 and 418.24 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.00 : 963.28 = 418.24 : x
  2. Step 2: Convert to fraction form
    698.00/963.28 = 418.24/x
  3. Step 3: Cross multiply
    698.00x = 963.28 × 418.24
  4. Step 4: Simplify right side
    698.00x = 402,882.39
  5. Step 5: Solve for x
    x = 402,882.39/698.00
  6. Step 6: Final answer
    x = 577.20

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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.