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Finding the Fourth Proportional to 986.28, 1,478.36 and 523.78

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Solution

The fourth proportional to 986.28, 1,478.36 and 523.78 is: 785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.28 : 1,478.36 = 523.78 : x
  2. Step 2: Convert to fraction form
    986.28/1,478.36 = 523.78/x
  3. Step 3: Cross multiply
    986.28x = 1,478.36 × 523.78
  4. Step 4: Simplify right side
    986.28x = 774,335.40
  5. Step 5: Solve for x
    x = 774,335.40/986.28
  6. Step 6: Final answer
    x = 785.11

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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.