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Finding the Fourth Proportional to 719.92, 1,078.17 and 459.10

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Solution

The fourth proportional to 719.92, 1,078.17 and 459.10 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.92 : 1,078.17 = 459.10 : x
  2. Step 2: Convert to fraction form
    719.92/1,078.17 = 459.10/x
  3. Step 3: Cross multiply
    719.92x = 1,078.17 × 459.10
  4. Step 4: Simplify right side
    719.92x = 494,987.85
  5. Step 5: Solve for x
    x = 494,987.85/719.92
  6. Step 6: Final answer
    x = 687.56

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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.