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Finding the Fourth Proportional to 523.21, 721.56 and 348.25

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Solution

The fourth proportional to 523.21, 721.56 and 348.25 is: 480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 721.56 = 348.25 : x
  2. Step 2: Convert to fraction form
    523.21/721.56 = 348.25/x
  3. Step 3: Cross multiply
    523.21x = 721.56 × 348.25
  4. Step 4: Simplify right side
    523.21x = 251,283.27
  5. Step 5: Solve for x
    x = 251,283.27/523.21
  6. Step 6: Final answer
    x = 480.27

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1.5x scale

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.