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Finding the Fourth Proportional to 720.77, 1,079.19 and 412.34

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Solution

The fourth proportional to 720.77, 1,079.19 and 412.34 is: 617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.77 : 1,079.19 = 412.34 : x
  2. Step 2: Convert to fraction form
    720.77/1,079.19 = 412.34/x
  3. Step 3: Cross multiply
    720.77x = 1,079.19 × 412.34
  4. Step 4: Simplify right side
    720.77x = 444,987.81
  5. Step 5: Solve for x
    x = 444,987.81/720.77
  6. Step 6: Final answer
    x = 617.38

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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.