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Finding the Fourth Proportional to 1,163.46, 1,606.14 and 771.12

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Solution

The fourth proportional to 1,163.46, 1,606.14 and 771.12 is: 1,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.46 : 1,606.14 = 771.12 : x
  2. Step 2: Convert to fraction form
    1,163.46/1,606.14 = 771.12/x
  3. Step 3: Cross multiply
    1,163.46x = 1,606.14 × 771.12
  4. Step 4: Simplify right side
    1,163.46x = 1,238,526.68
  5. Step 5: Solve for x
    x = 1,238,526.68/1,163.46
  6. Step 6: Final answer
    x = 1,064.52

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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.