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Finding the Fourth Proportional to 963.58, 1,329.75 and 521.49

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Solution

The fourth proportional to 963.58, 1,329.75 and 521.49 is: 719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.58 : 1,329.75 = 521.49 : x
  2. Step 2: Convert to fraction form
    963.58/1,329.75 = 521.49/x
  3. Step 3: Cross multiply
    963.58x = 1,329.75 × 521.49
  4. Step 4: Simplify right side
    963.58x = 693,451.33
  5. Step 5: Solve for x
    x = 693,451.33/963.58
  6. Step 6: Final answer
    x = 719.66

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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.