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Finding the Fourth Proportional to 1,259.11, 1,889.33 and 601.73

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Solution

The fourth proportional to 1,259.11, 1,889.33 and 601.73 is: 902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.11 : 1,889.33 = 601.73 : x
  2. Step 2: Convert to fraction form
    1,259.11/1,889.33 = 601.73/x
  3. Step 3: Cross multiply
    1,259.11x = 1,889.33 × 601.73
  4. Step 4: Simplify right side
    1,259.11x = 1,136,861.17
  5. Step 5: Solve for x
    x = 1,136,861.17/1,259.11
  6. Step 6: Final answer
    x = 902.91

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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.