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Finding the Fourth Proportional to 697.88, 963.20 and 403.20

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Solution

The fourth proportional to 697.88, 963.20 and 403.20 is: 556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 963.20 = 403.20 : x
  2. Step 2: Convert to fraction form
    697.88/963.20 = 403.20/x
  3. Step 3: Cross multiply
    697.88x = 963.20 × 403.20
  4. Step 4: Simplify right side
    697.88x = 388,362.24
  5. Step 5: Solve for x
    x = 388,362.24/697.88
  6. Step 6: Final answer
    x = 556.49

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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.