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Finding the Fourth Proportional to 1,186.78, 1,637.88 and 744.70

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Solution

The fourth proportional to 1,186.78, 1,637.88 and 744.70 is: 1,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.78 : 1,637.88 = 744.70 : x
  2. Step 2: Convert to fraction form
    1,186.78/1,637.88 = 744.70/x
  3. Step 3: Cross multiply
    1,186.78x = 1,637.88 × 744.70
  4. Step 4: Simplify right side
    1,186.78x = 1,219,729.24
  5. Step 5: Solve for x
    x = 1,219,729.24/1,186.78
  6. Step 6: Final answer
    x = 1,027.76

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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.