Home / 1,163.18-1,742.71-614.15

Finding the Fourth Proportional to 1,163.18, 1,742.71 and 614.15

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Solution

The fourth proportional to 1,163.18, 1,742.71 and 614.15 is: 920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.18 : 1,742.71 = 614.15 : x
  2. Step 2: Convert to fraction form
    1,163.18/1,742.71 = 614.15/x
  3. Step 3: Cross multiply
    1,163.18x = 1,742.71 × 614.15
  4. Step 4: Simplify right side
    1,163.18x = 1,070,285.35
  5. Step 5: Solve for x
    x = 1,070,285.35/1,163.18
  6. Step 6: Final answer
    x = 920.14

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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.