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Finding the Fourth Proportional to 681.15, 1,021.60 and 310.87

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Solution

The fourth proportional to 681.15, 1,021.60 and 310.87 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.15 : 1,021.60 = 310.87 : x
  2. Step 2: Convert to fraction form
    681.15/1,021.60 = 310.87/x
  3. Step 3: Cross multiply
    681.15x = 1,021.60 × 310.87
  4. Step 4: Simplify right side
    681.15x = 317,584.79
  5. Step 5: Solve for x
    x = 317,584.79/681.15
  6. Step 6: Final answer
    x = 466.25

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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.