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Finding the Fourth Proportional to 784.13, 1,081.30 and 679.17

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Solution

The fourth proportional to 784.13, 1,081.30 and 679.17 is: 936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.13 : 1,081.30 = 679.17 : x
  2. Step 2: Convert to fraction form
    784.13/1,081.30 = 679.17/x
  3. Step 3: Cross multiply
    784.13x = 1,081.30 × 679.17
  4. Step 4: Simplify right side
    784.13x = 734,386.52
  5. Step 5: Solve for x
    x = 734,386.52/784.13
  6. Step 6: Final answer
    x = 936.56

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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.