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Finding the Fourth Proportional to 1,667.58, 2,501.73 and 571.65

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Solution

The fourth proportional to 1,667.58, 2,501.73 and 571.65 is: 857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.58 : 2,501.73 = 571.65 : x
  2. Step 2: Convert to fraction form
    1,667.58/2,501.73 = 571.65/x
  3. Step 3: Cross multiply
    1,667.58x = 2,501.73 × 571.65
  4. Step 4: Simplify right side
    1,667.58x = 1,430,123.34
  5. Step 5: Solve for x
    x = 1,430,123.34/1,667.58
  6. Step 6: Final answer
    x = 857.60

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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.