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Finding the Fourth Proportional to 967.20, 1,448.78 and 760.79

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Solution

The fourth proportional to 967.20, 1,448.78 and 760.79 is: 1,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.20 : 1,448.78 = 760.79 : x
  2. Step 2: Convert to fraction form
    967.20/1,448.78 = 760.79/x
  3. Step 3: Cross multiply
    967.20x = 1,448.78 × 760.79
  4. Step 4: Simplify right side
    967.20x = 1,102,206.29
  5. Step 5: Solve for x
    x = 1,102,206.29/967.20
  6. Step 6: Final answer
    x = 1,139.58

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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.