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Finding the Fourth Proportional to 485.11, 730.41 and 427.70

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Solution

The fourth proportional to 485.11, 730.41 and 427.70 is: 643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.11 : 730.41 = 427.70 : x
  2. Step 2: Convert to fraction form
    485.11/730.41 = 427.70/x
  3. Step 3: Cross multiply
    485.11x = 730.41 × 427.70
  4. Step 4: Simplify right side
    485.11x = 312,396.58
  5. Step 5: Solve for x
    x = 312,396.58/485.11
  6. Step 6: Final answer
    x = 643.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.