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Finding the Fourth Proportional to 427.86, 643.22 and 337.64

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Solution

The fourth proportional to 427.86, 643.22 and 337.64 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.86 : 643.22 = 337.64 : x
  2. Step 2: Convert to fraction form
    427.86/643.22 = 337.64/x
  3. Step 3: Cross multiply
    427.86x = 643.22 × 337.64
  4. Step 4: Simplify right side
    427.86x = 217,175.11
  5. Step 5: Solve for x
    x = 217,175.11/427.86
  6. Step 6: Final answer
    x = 507.59

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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.