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Finding the Fourth Proportional to 647.39, 893.42 and 381.85

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Solution

The fourth proportional to 647.39, 893.42 and 381.85 is: 526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.39 : 893.42 = 381.85 : x
  2. Step 2: Convert to fraction form
    647.39/893.42 = 381.85/x
  3. Step 3: Cross multiply
    647.39x = 893.42 × 381.85
  4. Step 4: Simplify right side
    647.39x = 341,152.43
  5. Step 5: Solve for x
    x = 341,152.43/647.39
  6. Step 6: Final answer
    x = 526.97

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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.