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Finding the Fourth Proportional to 1,054.20, 1,578.42 and 762

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Solution

The fourth proportional to 1,054.20, 1,578.42 and 762 is: 1,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.20 : 1,578.42 = 762 : x
  2. Step 2: Convert to fraction form
    1,054.20/1,578.42 = 762/x
  3. Step 3: Cross multiply
    1,054.20x = 1,578.42 × 762
  4. Step 4: Simplify right side
    1,054.20x = 1,202,756.04
  5. Step 5: Solve for x
    x = 1,202,756.04/1,054.20
  6. Step 6: Final answer
    x = 1,140.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.