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Finding the Fourth Proportional to 688.96, 1,033.76 and 516.44

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Solution

The fourth proportional to 688.96, 1,033.76 and 516.44 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.96 : 1,033.76 = 516.44 : x
  2. Step 2: Convert to fraction form
    688.96/1,033.76 = 516.44/x
  3. Step 3: Cross multiply
    688.96x = 1,033.76 × 516.44
  4. Step 4: Simplify right side
    688.96x = 533,875.01
  5. Step 5: Solve for x
    x = 533,875.01/688.96
  6. Step 6: Final answer
    x = 774.90

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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.