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Finding the Fourth Proportional to 523.12, 721.91 and 290.26

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Solution

The fourth proportional to 523.12, 721.91 and 290.26 is: 400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 721.91 = 290.26 : x
  2. Step 2: Convert to fraction form
    523.12/721.91 = 290.26/x
  3. Step 3: Cross multiply
    523.12x = 721.91 × 290.26
  4. Step 4: Simplify right side
    523.12x = 209,541.60
  5. Step 5: Solve for x
    x = 209,541.60/523.12
  6. Step 6: Final answer
    x = 400.56

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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.