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Finding the Fourth Proportional to 491.94, 682.49 and 474.12

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Solution

The fourth proportional to 491.94, 682.49 and 474.12 is: 657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.94 : 682.49 = 474.12 : x
  2. Step 2: Convert to fraction form
    491.94/682.49 = 474.12/x
  3. Step 3: Cross multiply
    491.94x = 682.49 × 474.12
  4. Step 4: Simplify right side
    491.94x = 323,583.34
  5. Step 5: Solve for x
    x = 323,583.34/491.94
  6. Step 6: Final answer
    x = 657.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.