Home / 1,140.25-1,709.34-409.66

Finding the Fourth Proportional to 1,140.25, 1,709.34 and 409.66

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Solution

The fourth proportional to 1,140.25, 1,709.34 and 409.66 is: 614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.25 : 1,709.34 = 409.66 : x
  2. Step 2: Convert to fraction form
    1,140.25/1,709.34 = 409.66/x
  3. Step 3: Cross multiply
    1,140.25x = 1,709.34 × 409.66
  4. Step 4: Simplify right side
    1,140.25x = 700,239.68
  5. Step 5: Solve for x
    x = 700,239.68/1,140.25
  6. Step 6: Final answer
    x = 614.11

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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.