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Finding the Fourth Proportional to 720.27, 1,077.68 and 427.92

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Solution

The fourth proportional to 720.27, 1,077.68 and 427.92 is: 640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.27 : 1,077.68 = 427.92 : x
  2. Step 2: Convert to fraction form
    720.27/1,077.68 = 427.92/x
  3. Step 3: Cross multiply
    720.27x = 1,077.68 × 427.92
  4. Step 4: Simplify right side
    720.27x = 461,158.69
  5. Step 5: Solve for x
    x = 461,158.69/720.27
  6. Step 6: Final answer
    x = 640.26

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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.