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Finding the Fourth Proportional to 696.42, 1,039.14 and 680.67

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Solution

The fourth proportional to 696.42, 1,039.14 and 680.67 is: 1,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 1,039.14 = 680.67 : x
  2. Step 2: Convert to fraction form
    696.42/1,039.14 = 680.67/x
  3. Step 3: Cross multiply
    696.42x = 1,039.14 × 680.67
  4. Step 4: Simplify right side
    696.42x = 707,311.42
  5. Step 5: Solve for x
    x = 707,311.42/696.42
  6. Step 6: Final answer
    x = 1,015.64

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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.