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Finding the Fourth Proportional to 927.01, 1,390.13 and 378.82

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Solution

The fourth proportional to 927.01, 1,390.13 and 378.82 is: 568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.01 : 1,390.13 = 378.82 : x
  2. Step 2: Convert to fraction form
    927.01/1,390.13 = 378.82/x
  3. Step 3: Cross multiply
    927.01x = 1,390.13 × 378.82
  4. Step 4: Simplify right side
    927.01x = 526,609.05
  5. Step 5: Solve for x
    x = 526,609.05/927.01
  6. Step 6: Final answer
    x = 568.07

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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.