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Finding the Fourth Proportional to 966.65, 1,448.99 and 381.42

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Solution

The fourth proportional to 966.65, 1,448.99 and 381.42 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.65 : 1,448.99 = 381.42 : x
  2. Step 2: Convert to fraction form
    966.65/1,448.99 = 381.42/x
  3. Step 3: Cross multiply
    966.65x = 1,448.99 × 381.42
  4. Step 4: Simplify right side
    966.65x = 552,674.72
  5. Step 5: Solve for x
    x = 552,674.72/966.65
  6. Step 6: Final answer
    x = 571.74

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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.