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Finding the Fourth Proportional to 976, 1,346.88 and 893.38

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Solution

The fourth proportional to 976, 1,346.88 and 893.38 is: 1,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,346.88 = 893.38 : x
  2. Step 2: Convert to fraction form
    976/1,346.88 = 893.38/x
  3. Step 3: Cross multiply
    976x = 1,346.88 × 893.38
  4. Step 4: Simplify right side
    976x = 1,203,275.65
  5. Step 5: Solve for x
    x = 1,203,275.65/976
  6. Step 6: Final answer
    x = 1,232.86

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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.