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Finding the Fourth Proportional to 523.56, 721.80 and 348.60

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Solution

The fourth proportional to 523.56, 721.80 and 348.60 is: 480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 721.80 = 348.60 : x
  2. Step 2: Convert to fraction form
    523.56/721.80 = 348.60/x
  3. Step 3: Cross multiply
    523.56x = 721.80 × 348.60
  4. Step 4: Simplify right side
    523.56x = 251,619.48
  5. Step 5: Solve for x
    x = 251,619.48/523.56
  6. Step 6: Final answer
    x = 480.59

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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.