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Finding the Fourth Proportional to 986.03, 1,478.10 and 694.20

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Solution

The fourth proportional to 986.03, 1,478.10 and 694.20 is: 1,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.03 : 1,478.10 = 694.20 : x
  2. Step 2: Convert to fraction form
    986.03/1,478.10 = 694.20/x
  3. Step 3: Cross multiply
    986.03x = 1,478.10 × 694.20
  4. Step 4: Simplify right side
    986.03x = 1,026,097.02
  5. Step 5: Solve for x
    x = 1,026,097.02/986.03
  6. Step 6: Final answer
    x = 1,040.63

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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.