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Finding the Fourth Proportional to 698.42, 963.95 and 403.85

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Solution

The fourth proportional to 698.42, 963.95 and 403.85 is: 557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.42 : 963.95 = 403.85 : x
  2. Step 2: Convert to fraction form
    698.42/963.95 = 403.85/x
  3. Step 3: Cross multiply
    698.42x = 963.95 × 403.85
  4. Step 4: Simplify right side
    698.42x = 389,284.37
  5. Step 5: Solve for x
    x = 389,284.37/698.42
  6. Step 6: Final answer
    x = 557.38

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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.