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Finding the Fourth Proportional to 1,139.91, 1,709.86 and 274.22

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Solution

The fourth proportional to 1,139.91, 1,709.86 and 274.22 is: 411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.91 : 1,709.86 = 274.22 : x
  2. Step 2: Convert to fraction form
    1,139.91/1,709.86 = 274.22/x
  3. Step 3: Cross multiply
    1,139.91x = 1,709.86 × 274.22
  4. Step 4: Simplify right side
    1,139.91x = 468,875.50
  5. Step 5: Solve for x
    x = 468,875.50/1,139.91
  6. Step 6: Final answer
    x = 411.33

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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.