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Finding the Fourth Proportional to 688.65, 949.88 and 426.52

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Solution

The fourth proportional to 688.65, 949.88 and 426.52 is: 588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.65 : 949.88 = 426.52 : x
  2. Step 2: Convert to fraction form
    688.65/949.88 = 426.52/x
  3. Step 3: Cross multiply
    688.65x = 949.88 × 426.52
  4. Step 4: Simplify right side
    688.65x = 405,142.82
  5. Step 5: Solve for x
    x = 405,142.82/688.65
  6. Step 6: Final answer
    x = 588.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.