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Finding the Fourth Proportional to 523.25, 721.82 and 346.16

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Solution

The fourth proportional to 523.25, 721.82 and 346.16 is: 477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.25 : 721.82 = 346.16 : x
  2. Step 2: Convert to fraction form
    523.25/721.82 = 346.16/x
  3. Step 3: Cross multiply
    523.25x = 721.82 × 346.16
  4. Step 4: Simplify right side
    523.25x = 249,865.21
  5. Step 5: Solve for x
    x = 249,865.21/523.25
  6. Step 6: Final answer
    x = 477.53

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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.