Home / 1,163.18-1,602.78-1,082.90

Finding the Fourth Proportional to 1,163.18, 1,602.78 and 1,082.90

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Solution

The fourth proportional to 1,163.18, 1,602.78 and 1,082.90 is: 1,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.18 : 1,602.78 = 1,082.90 : x
  2. Step 2: Convert to fraction form
    1,163.18/1,602.78 = 1,082.90/x
  3. Step 3: Cross multiply
    1,163.18x = 1,602.78 × 1,082.90
  4. Step 4: Simplify right side
    1,163.18x = 1,735,650.46
  5. Step 5: Solve for x
    x = 1,735,650.46/1,163.18
  6. Step 6: Final answer
    x = 1,492.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.