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Finding the Fourth Proportional to 926.89, 1,390.60 and 378.97

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Solution

The fourth proportional to 926.89, 1,390.60 and 378.97 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.89 : 1,390.60 = 378.97 : x
  2. Step 2: Convert to fraction form
    926.89/1,390.60 = 378.97/x
  3. Step 3: Cross multiply
    926.89x = 1,390.60 × 378.97
  4. Step 4: Simplify right side
    926.89x = 526,995.68
  5. Step 5: Solve for x
    x = 526,995.68/926.89
  6. Step 6: Final answer
    x = 568.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.