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Finding the Fourth Proportional to 906.72, 1,360.31 and 386.74

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Solution

The fourth proportional to 906.72, 1,360.31 and 386.74 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.72 : 1,360.31 = 386.74 : x
  2. Step 2: Convert to fraction form
    906.72/1,360.31 = 386.74/x
  3. Step 3: Cross multiply
    906.72x = 1,360.31 × 386.74
  4. Step 4: Simplify right side
    906.72x = 526,086.29
  5. Step 5: Solve for x
    x = 526,086.29/906.72
  6. Step 6: Final answer
    x = 580.21

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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.