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Finding the Fourth Proportional to 1,040.49, 1,436.18 and 620.71

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Solution

The fourth proportional to 1,040.49, 1,436.18 and 620.71 is: 856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.49 : 1,436.18 = 620.71 : x
  2. Step 2: Convert to fraction form
    1,040.49/1,436.18 = 620.71/x
  3. Step 3: Cross multiply
    1,040.49x = 1,436.18 × 620.71
  4. Step 4: Simplify right side
    1,040.49x = 891,451.29
  5. Step 5: Solve for x
    x = 891,451.29/1,040.49
  6. Step 6: Final answer
    x = 856.76

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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.