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Finding the Fourth Proportional to 1,186.86, 1,637.80 and 745

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Solution

The fourth proportional to 1,186.86, 1,637.80 and 745 is: 1,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.86 : 1,637.80 = 745 : x
  2. Step 2: Convert to fraction form
    1,186.86/1,637.80 = 745/x
  3. Step 3: Cross multiply
    1,186.86x = 1,637.80 × 745
  4. Step 4: Simplify right side
    1,186.86x = 1,220,161
  5. Step 5: Solve for x
    x = 1,220,161/1,186.86
  6. Step 6: Final answer
    x = 1,028.06

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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.