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Finding the Fourth Proportional to 1,142.11, 1,713.72 and 622.09

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Solution

The fourth proportional to 1,142.11, 1,713.72 and 622.09 is: 933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.11 : 1,713.72 = 622.09 : x
  2. Step 2: Convert to fraction form
    1,142.11/1,713.72 = 622.09/x
  3. Step 3: Cross multiply
    1,142.11x = 1,713.72 × 622.09
  4. Step 4: Simplify right side
    1,142.11x = 1,066,088.07
  5. Step 5: Solve for x
    x = 1,066,088.07/1,142.11
  6. Step 6: Final answer
    x = 933.44

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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.