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Finding the Fourth Proportional to 1,013.85, 1,399.24 and 620.95

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Solution

The fourth proportional to 1,013.85, 1,399.24 and 620.95 is: 856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.85 : 1,399.24 = 620.95 : x
  2. Step 2: Convert to fraction form
    1,013.85/1,399.24 = 620.95/x
  3. Step 3: Cross multiply
    1,013.85x = 1,399.24 × 620.95
  4. Step 4: Simplify right side
    1,013.85x = 868,858.08
  5. Step 5: Solve for x
    x = 868,858.08/1,013.85
  6. Step 6: Final answer
    x = 856.99

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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.