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Finding the Fourth Proportional to 688.18, 949.64 and 426.14

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Solution

The fourth proportional to 688.18, 949.64 and 426.14 is: 588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.18 : 949.64 = 426.14 : x
  2. Step 2: Convert to fraction form
    688.18/949.64 = 426.14/x
  3. Step 3: Cross multiply
    688.18x = 949.64 × 426.14
  4. Step 4: Simplify right side
    688.18x = 404,679.83
  5. Step 5: Solve for x
    x = 404,679.83/688.18
  6. Step 6: Final answer
    x = 588.05

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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.