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Finding the Fourth Proportional to 647.20, 893.11 and 367.41

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Solution

The fourth proportional to 647.20, 893.11 and 367.41 is: 507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.20 : 893.11 = 367.41 : x
  2. Step 2: Convert to fraction form
    647.20/893.11 = 367.41/x
  3. Step 3: Cross multiply
    647.20x = 893.11 × 367.41
  4. Step 4: Simplify right side
    647.20x = 328,137.55
  5. Step 5: Solve for x
    x = 328,137.55/647.20
  6. Step 6: Final answer
    x = 507.01

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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.