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Finding the Fourth Proportional to 682.70, 941.13 and 472.79

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Solution

The fourth proportional to 682.70, 941.13 and 472.79 is: 651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.70 : 941.13 = 472.79 : x
  2. Step 2: Convert to fraction form
    682.70/941.13 = 472.79/x
  3. Step 3: Cross multiply
    682.70x = 941.13 × 472.79
  4. Step 4: Simplify right side
    682.70x = 444,959.21
  5. Step 5: Solve for x
    x = 444,959.21/682.70
  6. Step 6: Final answer
    x = 651.77

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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.