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Finding the Fourth Proportional to 1,667.77, 2,501.91 and 571.89

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Solution

The fourth proportional to 1,667.77, 2,501.91 and 571.89 is: 857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.77 : 2,501.91 = 571.89 : x
  2. Step 2: Convert to fraction form
    1,667.77/2,501.91 = 571.89/x
  3. Step 3: Cross multiply
    1,667.77x = 2,501.91 × 571.89
  4. Step 4: Simplify right side
    1,667.77x = 1,430,817.31
  5. Step 5: Solve for x
    x = 1,430,817.31/1,667.77
  6. Step 6: Final answer
    x = 857.92

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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.