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Finding the Fourth Proportional to 986.32, 1,360.65 and 613.18

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Solution

The fourth proportional to 986.32, 1,360.65 and 613.18 is: 845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.32 : 1,360.65 = 613.18 : x
  2. Step 2: Convert to fraction form
    986.32/1,360.65 = 613.18/x
  3. Step 3: Cross multiply
    986.32x = 1,360.65 × 613.18
  4. Step 4: Simplify right side
    986.32x = 834,323.37
  5. Step 5: Solve for x
    x = 834,323.37/986.32
  6. Step 6: Final answer
    x = 845.90

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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.