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Finding the Fourth Proportional to 494.72, 682.64 and 420.33

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Solution

The fourth proportional to 494.72, 682.64 and 420.33 is: 580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.72 : 682.64 = 420.33 : x
  2. Step 2: Convert to fraction form
    494.72/682.64 = 420.33/x
  3. Step 3: Cross multiply
    494.72x = 682.64 × 420.33
  4. Step 4: Simplify right side
    494.72x = 286,936.11
  5. Step 5: Solve for x
    x = 286,936.11/494.72
  6. Step 6: Final answer
    x = 580.00

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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.