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Finding the Fourth Proportional to 986.83, 1,476.59 and 811.87

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Solution

The fourth proportional to 986.83, 1,476.59 and 811.87 is: 1,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.83 : 1,476.59 = 811.87 : x
  2. Step 2: Convert to fraction form
    986.83/1,476.59 = 811.87/x
  3. Step 3: Cross multiply
    986.83x = 1,476.59 × 811.87
  4. Step 4: Simplify right side
    986.83x = 1,198,797.46
  5. Step 5: Solve for x
    x = 1,198,797.46/986.83
  6. Step 6: Final answer
    x = 1,214.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.