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Finding the Fourth Proportional to 698.30, 963.53 and 403.46

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Solution

The fourth proportional to 698.30, 963.53 and 403.46 is: 556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.30 : 963.53 = 403.46 : x
  2. Step 2: Convert to fraction form
    698.30/963.53 = 403.46/x
  3. Step 3: Cross multiply
    698.30x = 963.53 × 403.46
  4. Step 4: Simplify right side
    698.30x = 388,745.81
  5. Step 5: Solve for x
    x = 388,745.81/698.30
  6. Step 6: Final answer
    x = 556.70

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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.