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Finding the Fourth Proportional to 966.65, 1,449.14 and 381.33

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Solution

The fourth proportional to 966.65, 1,449.14 and 381.33 is: 571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.65 : 1,449.14 = 381.33 : x
  2. Step 2: Convert to fraction form
    966.65/1,449.14 = 381.33/x
  3. Step 3: Cross multiply
    966.65x = 1,449.14 × 381.33
  4. Step 4: Simplify right side
    966.65x = 552,598.65
  5. Step 5: Solve for x
    x = 552,598.65/966.65
  6. Step 6: Final answer
    x = 571.67

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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.