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Finding the Fourth Proportional to 963.89, 1,330.17 and 521.80

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Solution

The fourth proportional to 963.89, 1,330.17 and 521.80 is: 720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.89 : 1,330.17 = 521.80 : x
  2. Step 2: Convert to fraction form
    963.89/1,330.17 = 521.80/x
  3. Step 3: Cross multiply
    963.89x = 1,330.17 × 521.80
  4. Step 4: Simplify right side
    963.89x = 694,087.84
  5. Step 5: Solve for x
    x = 694,087.84/963.89
  6. Step 6: Final answer
    x = 720.09

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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.