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Finding the Fourth Proportional to 1,014.97, 1,400.76 and 616.54

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Solution

The fourth proportional to 1,014.97, 1,400.76 and 616.54 is: 850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.97 : 1,400.76 = 616.54 : x
  2. Step 2: Convert to fraction form
    1,014.97/1,400.76 = 616.54/x
  3. Step 3: Cross multiply
    1,014.97x = 1,400.76 × 616.54
  4. Step 4: Simplify right side
    1,014.97x = 863,624.57
  5. Step 5: Solve for x
    x = 863,624.57/1,014.97
  6. Step 6: Final answer
    x = 850.89

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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.