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Finding the Fourth Proportional to 1,334.51, 1,840.96 and 892.55

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Solution

The fourth proportional to 1,334.51, 1,840.96 and 892.55 is: 1,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.51 : 1,840.96 = 892.55 : x
  2. Step 2: Convert to fraction form
    1,334.51/1,840.96 = 892.55/x
  3. Step 3: Cross multiply
    1,334.51x = 1,840.96 × 892.55
  4. Step 4: Simplify right side
    1,334.51x = 1,643,154.57
  5. Step 5: Solve for x
    x = 1,643,154.57/1,334.51
  6. Step 6: Final answer
    x = 1,231.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.