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Finding the Fourth Proportional to 720.70, 1,078.62 and 599.20

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Solution

The fourth proportional to 720.70, 1,078.62 and 599.20 is: 896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.70 : 1,078.62 = 599.20 : x
  2. Step 2: Convert to fraction form
    720.70/1,078.62 = 599.20/x
  3. Step 3: Cross multiply
    720.70x = 1,078.62 × 599.20
  4. Step 4: Simplify right side
    720.70x = 646,309.10
  5. Step 5: Solve for x
    x = 646,309.10/720.70
  6. Step 6: Final answer
    x = 896.78

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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.