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Finding the Fourth Proportional to 682.72, 943.64 and 603.48

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Solution

The fourth proportional to 682.72, 943.64 and 603.48 is: 834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.72 : 943.64 = 603.48 : x
  2. Step 2: Convert to fraction form
    682.72/943.64 = 603.48/x
  3. Step 3: Cross multiply
    682.72x = 943.64 × 603.48
  4. Step 4: Simplify right side
    682.72x = 569,467.87
  5. Step 5: Solve for x
    x = 569,467.87/682.72
  6. Step 6: Final answer
    x = 834.12

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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.