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Finding the Fourth Proportional to 1,042.99, 1,556.87 and 911.62

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Solution

The fourth proportional to 1,042.99, 1,556.87 and 911.62 is: 1,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.99 : 1,556.87 = 911.62 : x
  2. Step 2: Convert to fraction form
    1,042.99/1,556.87 = 911.62/x
  3. Step 3: Cross multiply
    1,042.99x = 1,556.87 × 911.62
  4. Step 4: Simplify right side
    1,042.99x = 1,419,273.83
  5. Step 5: Solve for x
    x = 1,419,273.83/1,042.99
  6. Step 6: Final answer
    x = 1,360.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.