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Finding the Fourth Proportional to 523.14, 721.25 and 434.30

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Solution

The fourth proportional to 523.14, 721.25 and 434.30 is: 598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 721.25 = 434.30 : x
  2. Step 2: Convert to fraction form
    523.14/721.25 = 434.30/x
  3. Step 3: Cross multiply
    523.14x = 721.25 × 434.30
  4. Step 4: Simplify right side
    523.14x = 313,238.88
  5. Step 5: Solve for x
    x = 313,238.88/523.14
  6. Step 6: Final answer
    x = 598.77

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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.