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Finding the Fourth Proportional to 426.40, 640.72 and 364.88

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Solution

The fourth proportional to 426.40, 640.72 and 364.88 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.40 : 640.72 = 364.88 : x
  2. Step 2: Convert to fraction form
    426.40/640.72 = 364.88/x
  3. Step 3: Cross multiply
    426.40x = 640.72 × 364.88
  4. Step 4: Simplify right side
    426.40x = 233,785.91
  5. Step 5: Solve for x
    x = 233,785.91/426.40
  6. Step 6: Final answer
    x = 548.28

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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.