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Finding the Fourth Proportional to 1,556.27, 2,333.79 and 776.01

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Solution

The fourth proportional to 1,556.27, 2,333.79 and 776.01 is: 1,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.27 : 2,333.79 = 776.01 : x
  2. Step 2: Convert to fraction form
    1,556.27/2,333.79 = 776.01/x
  3. Step 3: Cross multiply
    1,556.27x = 2,333.79 × 776.01
  4. Step 4: Simplify right side
    1,556.27x = 1,811,044.38
  5. Step 5: Solve for x
    x = 1,811,044.38/1,556.27
  6. Step 6: Final answer
    x = 1,163.71

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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.