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Finding the Fourth Proportional to 682.74, 942.27 and 472.86

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Solution

The fourth proportional to 682.74, 942.27 and 472.86 is: 652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.74 : 942.27 = 472.86 : x
  2. Step 2: Convert to fraction form
    682.74/942.27 = 472.86/x
  3. Step 3: Cross multiply
    682.74x = 942.27 × 472.86
  4. Step 4: Simplify right side
    682.74x = 445,561.79
  5. Step 5: Solve for x
    x = 445,561.79/682.74
  6. Step 6: Final answer
    x = 652.61

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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.