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Finding the Fourth Proportional to 720.58, 1,081.03 and 412.43

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Solution

The fourth proportional to 720.58, 1,081.03 and 412.43 is: 618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.58 : 1,081.03 = 412.43 : x
  2. Step 2: Convert to fraction form
    720.58/1,081.03 = 412.43/x
  3. Step 3: Cross multiply
    720.58x = 1,081.03 × 412.43
  4. Step 4: Simplify right side
    720.58x = 445,849.20
  5. Step 5: Solve for x
    x = 445,849.20/720.58
  6. Step 6: Final answer
    x = 618.74

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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.