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Finding the Fourth Proportional to 963.46, 1,329.58 and 521.37

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Solution

The fourth proportional to 963.46, 1,329.58 and 521.37 is: 719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.46 : 1,329.58 = 521.37 : x
  2. Step 2: Convert to fraction form
    963.46/1,329.58 = 521.37/x
  3. Step 3: Cross multiply
    963.46x = 1,329.58 × 521.37
  4. Step 4: Simplify right side
    963.46x = 693,200.42
  5. Step 5: Solve for x
    x = 693,200.42/963.46
  6. Step 6: Final answer
    x = 719.49

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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.