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Finding the Fourth Proportional to 480.43, 660.55 and 427.47

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Solution

The fourth proportional to 480.43, 660.55 and 427.47 is: 587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.43 : 660.55 = 427.47 : x
  2. Step 2: Convert to fraction form
    480.43/660.55 = 427.47/x
  3. Step 3: Cross multiply
    480.43x = 660.55 × 427.47
  4. Step 4: Simplify right side
    480.43x = 282,365.31
  5. Step 5: Solve for x
    x = 282,365.31/480.43
  6. Step 6: Final answer
    x = 587.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.