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Finding the Fourth Proportional to 682.72, 1,024.12 and 580.72

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Solution

The fourth proportional to 682.72, 1,024.12 and 580.72 is: 871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.72 : 1,024.12 = 580.72 : x
  2. Step 2: Convert to fraction form
    682.72/1,024.12 = 580.72/x
  3. Step 3: Cross multiply
    682.72x = 1,024.12 × 580.72
  4. Step 4: Simplify right side
    682.72x = 594,726.97
  5. Step 5: Solve for x
    x = 594,726.97/682.72
  6. Step 6: Final answer
    x = 871.11

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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.