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Finding the Fourth Proportional to 1,028.75, 1,544.94 and 931.55

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Solution

The fourth proportional to 1,028.75, 1,544.94 and 931.55 is: 1,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.75 : 1,544.94 = 931.55 : x
  2. Step 2: Convert to fraction form
    1,028.75/1,544.94 = 931.55/x
  3. Step 3: Cross multiply
    1,028.75x = 1,544.94 × 931.55
  4. Step 4: Simplify right side
    1,028.75x = 1,439,181.13
  5. Step 5: Solve for x
    x = 1,439,181.13/1,028.75
  6. Step 6: Final answer
    x = 1,398.97

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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.