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Finding the Fourth Proportional to 696.30, 1,039.16 and 668.04

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Solution

The fourth proportional to 696.30, 1,039.16 and 668.04 is: 996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.30 : 1,039.16 = 668.04 : x
  2. Step 2: Convert to fraction form
    696.30/1,039.16 = 668.04/x
  3. Step 3: Cross multiply
    696.30x = 1,039.16 × 668.04
  4. Step 4: Simplify right side
    696.30x = 694,200.45
  5. Step 5: Solve for x
    x = 694,200.45/696.30
  6. Step 6: Final answer
    x = 996.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.