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Finding the Fourth Proportional to 1,142.29, 1,713.44 and 411.67

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Solution

The fourth proportional to 1,142.29, 1,713.44 and 411.67 is: 617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.29 : 1,713.44 = 411.67 : x
  2. Step 2: Convert to fraction form
    1,142.29/1,713.44 = 411.67/x
  3. Step 3: Cross multiply
    1,142.29x = 1,713.44 × 411.67
  4. Step 4: Simplify right side
    1,142.29x = 705,371.84
  5. Step 5: Solve for x
    x = 705,371.84/1,142.29
  6. Step 6: Final answer
    x = 617.51

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Double scale
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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.