Home / 1,071.27-1,607.17-301.77

Finding the Fourth Proportional to 1,071.27, 1,607.17 and 301.77

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Solution

The fourth proportional to 1,071.27, 1,607.17 and 301.77 is: 452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.27 : 1,607.17 = 301.77 : x
  2. Step 2: Convert to fraction form
    1,071.27/1,607.17 = 301.77/x
  3. Step 3: Cross multiply
    1,071.27x = 1,607.17 × 301.77
  4. Step 4: Simplify right side
    1,071.27x = 484,995.69
  5. Step 5: Solve for x
    x = 484,995.69/1,071.27
  6. Step 6: Final answer
    x = 452.73

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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.