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Finding the Fourth Proportional to 698.32, 963.64 and 403.56

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Solution

The fourth proportional to 698.32, 963.64 and 403.56 is: 556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 963.64 = 403.56 : x
  2. Step 2: Convert to fraction form
    698.32/963.64 = 403.56/x
  3. Step 3: Cross multiply
    698.32x = 963.64 × 403.56
  4. Step 4: Simplify right side
    698.32x = 388,886.56
  5. Step 5: Solve for x
    x = 388,886.56/698.32
  6. Step 6: Final answer
    x = 556.89

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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.