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Finding the Fourth Proportional to 647.38, 893.64 and 381.94

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Solution

The fourth proportional to 647.38, 893.64 and 381.94 is: 527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.38 : 893.64 = 381.94 : x
  2. Step 2: Convert to fraction form
    647.38/893.64 = 381.94/x
  3. Step 3: Cross multiply
    647.38x = 893.64 × 381.94
  4. Step 4: Simplify right side
    647.38x = 341,316.86
  5. Step 5: Solve for x
    x = 341,316.86/647.38
  6. Step 6: Final answer
    x = 527.23

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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.