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Finding the Fourth Proportional to 1,244.98, 1,717.97 and 713.85

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Solution

The fourth proportional to 1,244.98, 1,717.97 and 713.85 is: 985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.98 : 1,717.97 = 713.85 : x
  2. Step 2: Convert to fraction form
    1,244.98/1,717.97 = 713.85/x
  3. Step 3: Cross multiply
    1,244.98x = 1,717.97 × 713.85
  4. Step 4: Simplify right side
    1,244.98x = 1,226,369.32
  5. Step 5: Solve for x
    x = 1,226,369.32/1,244.98
  6. Step 6: Final answer
    x = 985.06

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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.