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Finding the Fourth Proportional to 1,507.94, 2,081.01 and 844.79

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Solution

The fourth proportional to 1,507.94, 2,081.01 and 844.79 is: 1,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.94 : 2,081.01 = 844.79 : x
  2. Step 2: Convert to fraction form
    1,507.94/2,081.01 = 844.79/x
  3. Step 3: Cross multiply
    1,507.94x = 2,081.01 × 844.79
  4. Step 4: Simplify right side
    1,507.94x = 1,758,021.64
  5. Step 5: Solve for x
    x = 1,758,021.64/1,507.94
  6. Step 6: Final answer
    x = 1,165.85

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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.