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Finding the Fourth Proportional to 647.72, 893.88 and 367.97

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Solution

The fourth proportional to 647.72, 893.88 and 367.97 is: 507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.72 : 893.88 = 367.97 : x
  2. Step 2: Convert to fraction form
    647.72/893.88 = 367.97/x
  3. Step 3: Cross multiply
    647.72x = 893.88 × 367.97
  4. Step 4: Simplify right side
    647.72x = 328,919.91
  5. Step 5: Solve for x
    x = 328,919.91/647.72
  6. Step 6: Final answer
    x = 507.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.