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Finding the Fourth Proportional to 963.69, 1,329.43 and 830.68

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Solution

The fourth proportional to 963.69, 1,329.43 and 830.68 is: 1,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.69 : 1,329.43 = 830.68 : x
  2. Step 2: Convert to fraction form
    963.69/1,329.43 = 830.68/x
  3. Step 3: Cross multiply
    963.69x = 1,329.43 × 830.68
  4. Step 4: Simplify right side
    963.69x = 1,104,330.91
  5. Step 5: Solve for x
    x = 1,104,330.91/963.69
  6. Step 6: Final answer
    x = 1,145.94

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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.