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Finding the Fourth Proportional to 523.15, 721.87 and 313.28

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Solution

The fourth proportional to 523.15, 721.87 and 313.28 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.15 : 721.87 = 313.28 : x
  2. Step 2: Convert to fraction form
    523.15/721.87 = 313.28/x
  3. Step 3: Cross multiply
    523.15x = 721.87 × 313.28
  4. Step 4: Simplify right side
    523.15x = 226,143.04
  5. Step 5: Solve for x
    x = 226,143.04/523.15
  6. Step 6: Final answer
    x = 432.27

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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.