Home / 1,144.10-1,577.40-922.43

Finding the Fourth Proportional to 1,144.10, 1,577.40 and 922.43

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Solution

The fourth proportional to 1,144.10, 1,577.40 and 922.43 is: 1,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.10 : 1,577.40 = 922.43 : x
  2. Step 2: Convert to fraction form
    1,144.10/1,577.40 = 922.43/x
  3. Step 3: Cross multiply
    1,144.10x = 1,577.40 × 922.43
  4. Step 4: Simplify right side
    1,144.10x = 1,455,041.08
  5. Step 5: Solve for x
    x = 1,455,041.08/1,144.10
  6. Step 6: Final answer
    x = 1,271.78

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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.