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Finding the Fourth Proportional to 494.82, 681.98 and 471.74

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Solution

The fourth proportional to 494.82, 681.98 and 471.74 is: 650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 681.98 = 471.74 : x
  2. Step 2: Convert to fraction form
    494.82/681.98 = 471.74/x
  3. Step 3: Cross multiply
    494.82x = 681.98 × 471.74
  4. Step 4: Simplify right side
    494.82x = 321,717.25
  5. Step 5: Solve for x
    x = 321,717.25/494.82
  6. Step 6: Final answer
    x = 650.17

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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.