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Finding the Fourth Proportional to 1,014.95, 1,400.41 and 616.49

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Solution

The fourth proportional to 1,014.95, 1,400.41 and 616.49 is: 850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.95 : 1,400.41 = 616.49 : x
  2. Step 2: Convert to fraction form
    1,014.95/1,400.41 = 616.49/x
  3. Step 3: Cross multiply
    1,014.95x = 1,400.41 × 616.49
  4. Step 4: Simplify right side
    1,014.95x = 863,338.76
  5. Step 5: Solve for x
    x = 863,338.76/1,014.95
  6. Step 6: Final answer
    x = 850.62

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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.