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Finding the Fourth Proportional to 721.10, 1,079.91 and 412.01

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Solution

The fourth proportional to 721.10, 1,079.91 and 412.01 is: 617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.10 : 1,079.91 = 412.01 : x
  2. Step 2: Convert to fraction form
    721.10/1,079.91 = 412.01/x
  3. Step 3: Cross multiply
    721.10x = 1,079.91 × 412.01
  4. Step 4: Simplify right side
    721.10x = 444,933.72
  5. Step 5: Solve for x
    x = 444,933.72/721.10
  6. Step 6: Final answer
    x = 617.03

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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.