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Finding the Fourth Proportional to 688.22, 1,037.74 and 630.82

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Solution

The fourth proportional to 688.22, 1,037.74 and 630.82 is: 951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.22 : 1,037.74 = 630.82 : x
  2. Step 2: Convert to fraction form
    688.22/1,037.74 = 630.82/x
  3. Step 3: Cross multiply
    688.22x = 1,037.74 × 630.82
  4. Step 4: Simplify right side
    688.22x = 654,622.98
  5. Step 5: Solve for x
    x = 654,622.98/688.22
  6. Step 6: Final answer
    x = 951.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.