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Finding the Fourth Proportional to 1,147.46, 1,580.49 and 815.27

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Solution

The fourth proportional to 1,147.46, 1,580.49 and 815.27 is: 1,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.46 : 1,580.49 = 815.27 : x
  2. Step 2: Convert to fraction form
    1,147.46/1,580.49 = 815.27/x
  3. Step 3: Cross multiply
    1,147.46x = 1,580.49 × 815.27
  4. Step 4: Simplify right side
    1,147.46x = 1,288,518.18
  5. Step 5: Solve for x
    x = 1,288,518.18/1,147.46
  6. Step 6: Final answer
    x = 1,122.94

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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.