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Finding the Fourth Proportional to 647.09, 893.09 and 381.57

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Solution

The fourth proportional to 647.09, 893.09 and 381.57 is: 526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.09 : 893.09 = 381.57 : x
  2. Step 2: Convert to fraction form
    647.09/893.09 = 381.57/x
  3. Step 3: Cross multiply
    647.09x = 893.09 × 381.57
  4. Step 4: Simplify right side
    647.09x = 340,774.44
  5. Step 5: Solve for x
    x = 340,774.44/647.09
  6. Step 6: Final answer
    x = 526.63

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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.