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Finding the Fourth Proportional to 481.64, 660.75 and 458.40

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Solution

The fourth proportional to 481.64, 660.75 and 458.40 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.64 : 660.75 = 458.40 : x
  2. Step 2: Convert to fraction form
    481.64/660.75 = 458.40/x
  3. Step 3: Cross multiply
    481.64x = 660.75 × 458.40
  4. Step 4: Simplify right side
    481.64x = 302,887.80
  5. Step 5: Solve for x
    x = 302,887.80/481.64
  6. Step 6: Final answer
    x = 628.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.