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Finding the Fourth Proportional to 1,054.10, 1,578.97 and 922.38

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Solution

The fourth proportional to 1,054.10, 1,578.97 and 922.38 is: 1,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.10 : 1,578.97 = 922.38 : x
  2. Step 2: Convert to fraction form
    1,054.10/1,578.97 = 922.38/x
  3. Step 3: Cross multiply
    1,054.10x = 1,578.97 × 922.38
  4. Step 4: Simplify right side
    1,054.10x = 1,456,410.35
  5. Step 5: Solve for x
    x = 1,456,410.35/1,054.10
  6. Step 6: Final answer
    x = 1,381.66

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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.