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Finding the Fourth Proportional to 719.73, 1,078.52 and 473.09

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Solution

The fourth proportional to 719.73, 1,078.52 and 473.09 is: 708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.73 : 1,078.52 = 473.09 : x
  2. Step 2: Convert to fraction form
    719.73/1,078.52 = 473.09/x
  3. Step 3: Cross multiply
    719.73x = 1,078.52 × 473.09
  4. Step 4: Simplify right side
    719.73x = 510,229.27
  5. Step 5: Solve for x
    x = 510,229.27/719.73
  6. Step 6: Final answer
    x = 708.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.