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Finding the Fourth Proportional to 720.59, 1,079.06 and 411.90

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Solution

The fourth proportional to 720.59, 1,079.06 and 411.90 is: 616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.59 : 1,079.06 = 411.90 : x
  2. Step 2: Convert to fraction form
    720.59/1,079.06 = 411.90/x
  3. Step 3: Cross multiply
    720.59x = 1,079.06 × 411.90
  4. Step 4: Simplify right side
    720.59x = 444,462.75
  5. Step 5: Solve for x
    x = 444,462.75/720.59
  6. Step 6: Final answer
    x = 616.81

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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.