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Finding the Fourth Proportional to 1,261.78, 1,892.70 and 712.60

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Solution

The fourth proportional to 1,261.78, 1,892.70 and 712.60 is: 1,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.78 : 1,892.70 = 712.60 : x
  2. Step 2: Convert to fraction form
    1,261.78/1,892.70 = 712.60/x
  3. Step 3: Cross multiply
    1,261.78x = 1,892.70 × 712.60
  4. Step 4: Simplify right side
    1,261.78x = 1,348,738.02
  5. Step 5: Solve for x
    x = 1,348,738.02/1,261.78
  6. Step 6: Final answer
    x = 1,068.92

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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.