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Finding the Fourth Proportional to 986.68, 1,360.65 and 765.55

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Solution

The fourth proportional to 986.68, 1,360.65 and 765.55 is: 1,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.68 : 1,360.65 = 765.55 : x
  2. Step 2: Convert to fraction form
    986.68/1,360.65 = 765.55/x
  3. Step 3: Cross multiply
    986.68x = 1,360.65 × 765.55
  4. Step 4: Simplify right side
    986.68x = 1,041,645.87
  5. Step 5: Solve for x
    x = 1,041,645.87/986.68
  6. Step 6: Final answer
    x = 1,055.71

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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.