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Finding the Fourth Proportional to 720.44, 1,081.05 and 412.55

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Solution

The fourth proportional to 720.44, 1,081.05 and 412.55 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.44 : 1,081.05 = 412.55 : x
  2. Step 2: Convert to fraction form
    720.44/1,081.05 = 412.55/x
  3. Step 3: Cross multiply
    720.44x = 1,081.05 × 412.55
  4. Step 4: Simplify right side
    720.44x = 445,981.77
  5. Step 5: Solve for x
    x = 445,981.77/720.44
  6. Step 6: Final answer
    x = 619.05

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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.