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Finding the Fourth Proportional to 426.72, 641.16 and 364.08

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Solution

The fourth proportional to 426.72, 641.16 and 364.08 is: 547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.72 : 641.16 = 364.08 : x
  2. Step 2: Convert to fraction form
    426.72/641.16 = 364.08/x
  3. Step 3: Cross multiply
    426.72x = 641.16 × 364.08
  4. Step 4: Simplify right side
    426.72x = 233,433.53
  5. Step 5: Solve for x
    x = 233,433.53/426.72
  6. Step 6: Final answer
    x = 547.04

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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.