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Finding the Fourth Proportional to 986.97, 1,478.75 and 693.92

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Solution

The fourth proportional to 986.97, 1,478.75 and 693.92 is: 1,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.97 : 1,478.75 = 693.92 : x
  2. Step 2: Convert to fraction form
    986.97/1,478.75 = 693.92/x
  3. Step 3: Cross multiply
    986.97x = 1,478.75 × 693.92
  4. Step 4: Simplify right side
    986.97x = 1,026,134.20
  5. Step 5: Solve for x
    x = 1,026,134.20/986.97
  6. Step 6: Final answer
    x = 1,039.68

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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.