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Finding the Fourth Proportional to 523.26, 720.87 and 434.22

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Solution

The fourth proportional to 523.26, 720.87 and 434.22 is: 598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 720.87 = 434.22 : x
  2. Step 2: Convert to fraction form
    523.26/720.87 = 434.22/x
  3. Step 3: Cross multiply
    523.26x = 720.87 × 434.22
  4. Step 4: Simplify right side
    523.26x = 313,016.17
  5. Step 5: Solve for x
    x = 313,016.17/523.26
  6. Step 6: Final answer
    x = 598.20

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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.