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Finding the Fourth Proportional to 906.82, 1,360.75 and 540.84

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Solution

The fourth proportional to 906.82, 1,360.75 and 540.84 is: 811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.82 : 1,360.75 = 540.84 : x
  2. Step 2: Convert to fraction form
    906.82/1,360.75 = 540.84/x
  3. Step 3: Cross multiply
    906.82x = 1,360.75 × 540.84
  4. Step 4: Simplify right side
    906.82x = 735,948.03
  5. Step 5: Solve for x
    x = 735,948.03/906.82
  6. Step 6: Final answer
    x = 811.57

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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.