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Finding the Fourth Proportional to 1,186.44, 1,637.01 and 689.10

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Solution

The fourth proportional to 1,186.44, 1,637.01 and 689.10 is: 950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.44 : 1,637.01 = 689.10 : x
  2. Step 2: Convert to fraction form
    1,186.44/1,637.01 = 689.10/x
  3. Step 3: Cross multiply
    1,186.44x = 1,637.01 × 689.10
  4. Step 4: Simplify right side
    1,186.44x = 1,128,063.59
  5. Step 5: Solve for x
    x = 1,128,063.59/1,186.44
  6. Step 6: Final answer
    x = 950.80

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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.