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Finding the Fourth Proportional to 1,091.40, 1,639.09 and 571.75

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Solution

The fourth proportional to 1,091.40, 1,639.09 and 571.75 is: 858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.40 : 1,639.09 = 571.75 : x
  2. Step 2: Convert to fraction form
    1,091.40/1,639.09 = 571.75/x
  3. Step 3: Cross multiply
    1,091.40x = 1,639.09 × 571.75
  4. Step 4: Simplify right side
    1,091.40x = 937,149.71
  5. Step 5: Solve for x
    x = 937,149.71/1,091.40
  6. Step 6: Final answer
    x = 858.67

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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.