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Finding the Fourth Proportional to 966.69, 1,333.72 and 547

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Solution

The fourth proportional to 966.69, 1,333.72 and 547 is: 754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.69 : 1,333.72 = 547 : x
  2. Step 2: Convert to fraction form
    966.69/1,333.72 = 547/x
  3. Step 3: Cross multiply
    966.69x = 1,333.72 × 547
  4. Step 4: Simplify right side
    966.69x = 729,544.84
  5. Step 5: Solve for x
    x = 729,544.84/966.69
  6. Step 6: Final answer
    x = 754.68

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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.