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Finding the Fourth Proportional to 688.27, 949.35 and 425.83

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Solution

The fourth proportional to 688.27, 949.35 and 425.83 is: 587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.27 : 949.35 = 425.83 : x
  2. Step 2: Convert to fraction form
    688.27/949.35 = 425.83/x
  3. Step 3: Cross multiply
    688.27x = 949.35 × 425.83
  4. Step 4: Simplify right side
    688.27x = 404,261.71
  5. Step 5: Solve for x
    x = 404,261.71/688.27
  6. Step 6: Final answer
    x = 587.36

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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.