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Finding the Fourth Proportional to 986.68, 1,360.74 and 687.43

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Solution

The fourth proportional to 986.68, 1,360.74 and 687.43 is: 948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.68 : 1,360.74 = 687.43 : x
  2. Step 2: Convert to fraction form
    986.68/1,360.74 = 687.43/x
  3. Step 3: Cross multiply
    986.68x = 1,360.74 × 687.43
  4. Step 4: Simplify right side
    986.68x = 935,413.50
  5. Step 5: Solve for x
    x = 935,413.50/986.68
  6. Step 6: Final answer
    x = 948.04

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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.