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Finding the Fourth Proportional to 720.74, 1,081.07 and 412.39

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Solution

The fourth proportional to 720.74, 1,081.07 and 412.39 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.74 : 1,081.07 = 412.39 : x
  2. Step 2: Convert to fraction form
    720.74/1,081.07 = 412.39/x
  3. Step 3: Cross multiply
    720.74x = 1,081.07 × 412.39
  4. Step 4: Simplify right side
    720.74x = 445,822.46
  5. Step 5: Solve for x
    x = 445,822.46/720.74
  6. Step 6: Final answer
    x = 618.56

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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.