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Finding the Fourth Proportional to 429.52, 645.72 and 334.48

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Solution

The fourth proportional to 429.52, 645.72 and 334.48 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.52 : 645.72 = 334.48 : x
  2. Step 2: Convert to fraction form
    429.52/645.72 = 334.48/x
  3. Step 3: Cross multiply
    429.52x = 645.72 × 334.48
  4. Step 4: Simplify right side
    429.52x = 215,980.43
  5. Step 5: Solve for x
    x = 215,980.43/429.52
  6. Step 6: Final answer
    x = 502.84

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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.