Home / 1,058.23-1,586.44-409.42

Finding the Fourth Proportional to 1,058.23, 1,586.44 and 409.42

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Solution

The fourth proportional to 1,058.23, 1,586.44 and 409.42 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.23 : 1,586.44 = 409.42 : x
  2. Step 2: Convert to fraction form
    1,058.23/1,586.44 = 409.42/x
  3. Step 3: Cross multiply
    1,058.23x = 1,586.44 × 409.42
  4. Step 4: Simplify right side
    1,058.23x = 649,520.26
  5. Step 5: Solve for x
    x = 649,520.26/1,058.23
  6. Step 6: Final answer
    x = 613.78

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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.