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Finding the Fourth Proportional to 454.72, 682.80 and 310.36

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Solution

The fourth proportional to 454.72, 682.80 and 310.36 is: 466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.72 : 682.80 = 310.36 : x
  2. Step 2: Convert to fraction form
    454.72/682.80 = 310.36/x
  3. Step 3: Cross multiply
    454.72x = 682.80 × 310.36
  4. Step 4: Simplify right side
    454.72x = 211,913.81
  5. Step 5: Solve for x
    x = 211,913.81/454.72
  6. Step 6: Final answer
    x = 466.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.