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Finding the Fourth Proportional to 683.75, 1,018.79 and 681.02

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Solution

The fourth proportional to 683.75, 1,018.79 and 681.02 is: 1,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.75 : 1,018.79 = 681.02 : x
  2. Step 2: Convert to fraction form
    683.75/1,018.79 = 681.02/x
  3. Step 3: Cross multiply
    683.75x = 1,018.79 × 681.02
  4. Step 4: Simplify right side
    683.75x = 693,816.37
  5. Step 5: Solve for x
    x = 693,816.37/683.75
  6. Step 6: Final answer
    x = 1,014.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.