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Finding the Fourth Proportional to 680.66, 1,021 and 247.81

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Solution

The fourth proportional to 680.66, 1,021 and 247.81 is: 371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.66 : 1,021 = 247.81 : x
  2. Step 2: Convert to fraction form
    680.66/1,021 = 247.81/x
  3. Step 3: Cross multiply
    680.66x = 1,021 × 247.81
  4. Step 4: Simplify right side
    680.66x = 253,014.01
  5. Step 5: Solve for x
    x = 253,014.01/680.66
  6. Step 6: Final answer
    x = 371.72

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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.