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Finding the Fourth Proportional to 784.06, 1,079.40 and 680.56

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Solution

The fourth proportional to 784.06, 1,079.40 and 680.56 is: 936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.06 : 1,079.40 = 680.56 : x
  2. Step 2: Convert to fraction form
    784.06/1,079.40 = 680.56/x
  3. Step 3: Cross multiply
    784.06x = 1,079.40 × 680.56
  4. Step 4: Simplify right side
    784.06x = 734,596.46
  5. Step 5: Solve for x
    x = 734,596.46/784.06
  6. Step 6: Final answer
    x = 936.91

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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.