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Finding the Fourth Proportional to 431.46, 645.57 and 334.26

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Solution

The fourth proportional to 431.46, 645.57 and 334.26 is: 500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 645.57 = 334.26 : x
  2. Step 2: Convert to fraction form
    431.46/645.57 = 334.26/x
  3. Step 3: Cross multiply
    431.46x = 645.57 × 334.26
  4. Step 4: Simplify right side
    431.46x = 215,788.23
  5. Step 5: Solve for x
    x = 215,788.23/431.46
  6. Step 6: Final answer
    x = 500.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.