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Finding the Fourth Proportional to 716.92, 1,068.20 and 685.46

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Solution

The fourth proportional to 716.92, 1,068.20 and 685.46 is: 1,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.92 : 1,068.20 = 685.46 : x
  2. Step 2: Convert to fraction form
    716.92/1,068.20 = 685.46/x
  3. Step 3: Cross multiply
    716.92x = 1,068.20 × 685.46
  4. Step 4: Simplify right side
    716.92x = 732,208.37
  5. Step 5: Solve for x
    x = 732,208.37/716.92
  6. Step 6: Final answer
    x = 1,021.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.