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Finding the Fourth Proportional to 1,374.84, 2,059.56 and 911.25

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Solution

The fourth proportional to 1,374.84, 2,059.56 and 911.25 is: 1,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.84 : 2,059.56 = 911.25 : x
  2. Step 2: Convert to fraction form
    1,374.84/2,059.56 = 911.25/x
  3. Step 3: Cross multiply
    1,374.84x = 2,059.56 × 911.25
  4. Step 4: Simplify right side
    1,374.84x = 1,876,774.05
  5. Step 5: Solve for x
    x = 1,876,774.05/1,374.84
  6. Step 6: Final answer
    x = 1,365.09

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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.