Home / 1,140.11-1,709.89-409.67

Finding the Fourth Proportional to 1,140.11, 1,709.89 and 409.67

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Solution

The fourth proportional to 1,140.11, 1,709.89 and 409.67 is: 614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.11 : 1,709.89 = 409.67 : x
  2. Step 2: Convert to fraction form
    1,140.11/1,709.89 = 409.67/x
  3. Step 3: Cross multiply
    1,140.11x = 1,709.89 × 409.67
  4. Step 4: Simplify right side
    1,140.11x = 700,490.64
  5. Step 5: Solve for x
    x = 700,490.64/1,140.11
  6. Step 6: Final answer
    x = 614.41

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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.