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Finding the Fourth Proportional to 682.72, 942.99 and 495.91

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Solution

The fourth proportional to 682.72, 942.99 and 495.91 is: 684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.72 : 942.99 = 495.91 : x
  2. Step 2: Convert to fraction form
    682.72/942.99 = 495.91/x
  3. Step 3: Cross multiply
    682.72x = 942.99 × 495.91
  4. Step 4: Simplify right side
    682.72x = 467,638.17
  5. Step 5: Solve for x
    x = 467,638.17/682.72
  6. Step 6: Final answer
    x = 684.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.