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Finding the Fourth Proportional to 1,777.94, 2,667.01 and 479.51

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Solution

The fourth proportional to 1,777.94, 2,667.01 and 479.51 is: 719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.94 : 2,667.01 = 479.51 : x
  2. Step 2: Convert to fraction form
    1,777.94/2,667.01 = 479.51/x
  3. Step 3: Cross multiply
    1,777.94x = 2,667.01 × 479.51
  4. Step 4: Simplify right side
    1,777.94x = 1,278,857.97
  5. Step 5: Solve for x
    x = 1,278,857.97/1,777.94
  6. Step 6: Final answer
    x = 719.29

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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.