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Finding the Fourth Proportional to 698.21, 963.59 and 418.40

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Solution

The fourth proportional to 698.21, 963.59 and 418.40 is: 577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 963.59 = 418.40 : x
  2. Step 2: Convert to fraction form
    698.21/963.59 = 418.40/x
  3. Step 3: Cross multiply
    698.21x = 963.59 × 418.40
  4. Step 4: Simplify right side
    698.21x = 403,159.15
  5. Step 5: Solve for x
    x = 403,159.15/698.21
  6. Step 6: Final answer
    x = 577.42

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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.