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Finding the Fourth Proportional to 646.95, 893.09 and 381.30

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Solution

The fourth proportional to 646.95, 893.09 and 381.30 is: 526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.95 : 893.09 = 381.30 : x
  2. Step 2: Convert to fraction form
    646.95/893.09 = 381.30/x
  3. Step 3: Cross multiply
    646.95x = 893.09 × 381.30
  4. Step 4: Simplify right side
    646.95x = 340,535.54
  5. Step 5: Solve for x
    x = 340,535.54/646.95
  6. Step 6: Final answer
    x = 526.37

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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.