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Finding the Fourth Proportional to 682.36, 1,024.04 and 292.34

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Solution

The fourth proportional to 682.36, 1,024.04 and 292.34 is: 438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.36 : 1,024.04 = 292.34 : x
  2. Step 2: Convert to fraction form
    682.36/1,024.04 = 292.34/x
  3. Step 3: Cross multiply
    682.36x = 1,024.04 × 292.34
  4. Step 4: Simplify right side
    682.36x = 299,371.14
  5. Step 5: Solve for x
    x = 299,371.14/682.36
  6. Step 6: Final answer
    x = 438.73

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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.