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Finding the Fourth Proportional to 1,261.69, 1,892.40 and 337.33

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Solution

The fourth proportional to 1,261.69, 1,892.40 and 337.33 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.69 : 1,892.40 = 337.33 : x
  2. Step 2: Convert to fraction form
    1,261.69/1,892.40 = 337.33/x
  3. Step 3: Cross multiply
    1,261.69x = 1,892.40 × 337.33
  4. Step 4: Simplify right side
    1,261.69x = 638,364.39
  5. Step 5: Solve for x
    x = 638,364.39/1,261.69
  6. Step 6: Final answer
    x = 505.96

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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.