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Finding the Fourth Proportional to 922.92, 1,382.49 and 778.19

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Solution

The fourth proportional to 922.92, 1,382.49 and 778.19 is: 1,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.92 : 1,382.49 = 778.19 : x
  2. Step 2: Convert to fraction form
    922.92/1,382.49 = 778.19/x
  3. Step 3: Cross multiply
    922.92x = 1,382.49 × 778.19
  4. Step 4: Simplify right side
    922.92x = 1,075,832.98
  5. Step 5: Solve for x
    x = 1,075,832.98/922.92
  6. Step 6: Final answer
    x = 1,165.68

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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.