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Finding the Fourth Proportional to 1,019.38, 1,406.73 and 620.95

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Solution

The fourth proportional to 1,019.38, 1,406.73 and 620.95 is: 856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.38 : 1,406.73 = 620.95 : x
  2. Step 2: Convert to fraction form
    1,019.38/1,406.73 = 620.95/x
  3. Step 3: Cross multiply
    1,019.38x = 1,406.73 × 620.95
  4. Step 4: Simplify right side
    1,019.38x = 873,508.99
  5. Step 5: Solve for x
    x = 873,508.99/1,019.38
  6. Step 6: Final answer
    x = 856.90

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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.