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Finding the Fourth Proportional to 688.43, 1,027.64 and 637.67

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Solution

The fourth proportional to 688.43, 1,027.64 and 637.67 is: 951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.43 : 1,027.64 = 637.67 : x
  2. Step 2: Convert to fraction form
    688.43/1,027.64 = 637.67/x
  3. Step 3: Cross multiply
    688.43x = 1,027.64 × 637.67
  4. Step 4: Simplify right side
    688.43x = 655,295.20
  5. Step 5: Solve for x
    x = 655,295.20/688.43
  6. Step 6: Final answer
    x = 951.87

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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.