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Finding the Fourth Proportional to 719.92, 1,074.66 and 669.20

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Solution

The fourth proportional to 719.92, 1,074.66 and 669.20 is: 998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.92 : 1,074.66 = 669.20 : x
  2. Step 2: Convert to fraction form
    719.92/1,074.66 = 669.20/x
  3. Step 3: Cross multiply
    719.92x = 1,074.66 × 669.20
  4. Step 4: Simplify right side
    719.92x = 719,162.47
  5. Step 5: Solve for x
    x = 719,162.47/719.92
  6. Step 6: Final answer
    x = 998.95

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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.