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Finding the Fourth Proportional to 1,058.27, 1,584.36 and 815.27

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Solution

The fourth proportional to 1,058.27, 1,584.36 and 815.27 is: 1,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.27 : 1,584.36 = 815.27 : x
  2. Step 2: Convert to fraction form
    1,058.27/1,584.36 = 815.27/x
  3. Step 3: Cross multiply
    1,058.27x = 1,584.36 × 815.27
  4. Step 4: Simplify right side
    1,058.27x = 1,291,673.26
  5. Step 5: Solve for x
    x = 1,291,673.26/1,058.27
  6. Step 6: Final answer
    x = 1,220.56

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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.