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Finding the Fourth Proportional to 1,667.44, 2,501.70 and 571.78

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Solution

The fourth proportional to 1,667.44, 2,501.70 and 571.78 is: 857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.44 : 2,501.70 = 571.78 : x
  2. Step 2: Convert to fraction form
    1,667.44/2,501.70 = 571.78/x
  3. Step 3: Cross multiply
    1,667.44x = 2,501.70 × 571.78
  4. Step 4: Simplify right side
    1,667.44x = 1,430,422.03
  5. Step 5: Solve for x
    x = 1,430,422.03/1,667.44
  6. Step 6: Final answer
    x = 857.86

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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.