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Finding the Fourth Proportional to 963.71, 1,329.93 and 521.62

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Solution

The fourth proportional to 963.71, 1,329.93 and 521.62 is: 719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.71 : 1,329.93 = 521.62 : x
  2. Step 2: Convert to fraction form
    963.71/1,329.93 = 521.62/x
  3. Step 3: Cross multiply
    963.71x = 1,329.93 × 521.62
  4. Step 4: Simplify right side
    963.71x = 693,714.76
  5. Step 5: Solve for x
    x = 693,714.76/963.71
  6. Step 6: Final answer
    x = 719.84

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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.