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Finding the Fourth Proportional to 963.29, 1,329.34 and 521.19

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Solution

The fourth proportional to 963.29, 1,329.34 and 521.19 is: 719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.29 : 1,329.34 = 521.19 : x
  2. Step 2: Convert to fraction form
    963.29/1,329.34 = 521.19/x
  3. Step 3: Cross multiply
    963.29x = 1,329.34 × 521.19
  4. Step 4: Simplify right side
    963.29x = 692,838.71
  5. Step 5: Solve for x
    x = 692,838.71/963.29
  6. Step 6: Final answer
    x = 719.24

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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.