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Finding the Fourth Proportional to 1,280.57, 1,917.42 and 731.99

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Solution

The fourth proportional to 1,280.57, 1,917.42 and 731.99 is: 1,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.57 : 1,917.42 = 731.99 : x
  2. Step 2: Convert to fraction form
    1,280.57/1,917.42 = 731.99/x
  3. Step 3: Cross multiply
    1,280.57x = 1,917.42 × 731.99
  4. Step 4: Simplify right side
    1,280.57x = 1,403,522.68
  5. Step 5: Solve for x
    x = 1,403,522.68/1,280.57
  6. Step 6: Final answer
    x = 1,096.02

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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.