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Finding the Fourth Proportional to 688.32, 943.74 and 681.84

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Solution

The fourth proportional to 688.32, 943.74 and 681.84 is: 934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 943.74 = 681.84 : x
  2. Step 2: Convert to fraction form
    688.32/943.74 = 681.84/x
  3. Step 3: Cross multiply
    688.32x = 943.74 × 681.84
  4. Step 4: Simplify right side
    688.32x = 643,479.68
  5. Step 5: Solve for x
    x = 643,479.68/688.32
  6. Step 6: Final answer
    x = 934.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.