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Finding the Fourth Proportional to 766.41, 1,055.28 and 672.65

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Solution

The fourth proportional to 766.41, 1,055.28 and 672.65 is: 926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.41 : 1,055.28 = 672.65 : x
  2. Step 2: Convert to fraction form
    766.41/1,055.28 = 672.65/x
  3. Step 3: Cross multiply
    766.41x = 1,055.28 × 672.65
  4. Step 4: Simplify right side
    766.41x = 709,837.45
  5. Step 5: Solve for x
    x = 709,837.45/766.41
  6. Step 6: Final answer
    x = 926.18

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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.