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Finding the Fourth Proportional to 1,261.18, 1,891.57 and 395.49

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Solution

The fourth proportional to 1,261.18, 1,891.57 and 395.49 is: 593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.18 : 1,891.57 = 395.49 : x
  2. Step 2: Convert to fraction form
    1,261.18/1,891.57 = 395.49/x
  3. Step 3: Cross multiply
    1,261.18x = 1,891.57 × 395.49
  4. Step 4: Simplify right side
    1,261.18x = 748,097.02
  5. Step 5: Solve for x
    x = 748,097.02/1,261.18
  6. Step 6: Final answer
    x = 593.17

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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.