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Finding the Fourth Proportional to 1,261.89, 1,892.84 and 337.45

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Solution

The fourth proportional to 1,261.89, 1,892.84 and 337.45 is: 506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.89 : 1,892.84 = 337.45 : x
  2. Step 2: Convert to fraction form
    1,261.89/1,892.84 = 337.45/x
  3. Step 3: Cross multiply
    1,261.89x = 1,892.84 × 337.45
  4. Step 4: Simplify right side
    1,261.89x = 638,738.86
  5. Step 5: Solve for x
    x = 638,738.86/1,261.89
  6. Step 6: Final answer
    x = 506.18

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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.