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Finding the Fourth Proportional to 966.84, 1,450.72 and 350.39

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Solution

The fourth proportional to 966.84, 1,450.72 and 350.39 is: 525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.84 : 1,450.72 = 350.39 : x
  2. Step 2: Convert to fraction form
    966.84/1,450.72 = 350.39/x
  3. Step 3: Cross multiply
    966.84x = 1,450.72 × 350.39
  4. Step 4: Simplify right side
    966.84x = 508,309.65
  5. Step 5: Solve for x
    x = 508,309.65/966.84
  6. Step 6: Final answer
    x = 525.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.