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Finding the Fourth Proportional to 480.52, 661.80 and 427.78

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Solution

The fourth proportional to 480.52, 661.80 and 427.78 is: 589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 661.80 = 427.78 : x
  2. Step 2: Convert to fraction form
    480.52/661.80 = 427.78/x
  3. Step 3: Cross multiply
    480.52x = 661.80 × 427.78
  4. Step 4: Simplify right side
    480.52x = 283,104.80
  5. Step 5: Solve for x
    x = 283,104.80/480.52
  6. Step 6: Final answer
    x = 589.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.