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Finding the Fourth Proportional to 986.28, 1,476.22 and 621.32

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Solution

The fourth proportional to 986.28, 1,476.22 and 621.32 is: 929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.28 : 1,476.22 = 621.32 : x
  2. Step 2: Convert to fraction form
    986.28/1,476.22 = 621.32/x
  3. Step 3: Cross multiply
    986.28x = 1,476.22 × 621.32
  4. Step 4: Simplify right side
    986.28x = 917,205.01
  5. Step 5: Solve for x
    x = 917,205.01/986.28
  6. Step 6: Final answer
    x = 929.96

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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.