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Finding the Fourth Proportional to 489.63, 675.48 and 321.53

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Solution

The fourth proportional to 489.63, 675.48 and 321.53 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.63 : 675.48 = 321.53 : x
  2. Step 2: Convert to fraction form
    489.63/675.48 = 321.53/x
  3. Step 3: Cross multiply
    489.63x = 675.48 × 321.53
  4. Step 4: Simplify right side
    489.63x = 217,187.08
  5. Step 5: Solve for x
    x = 217,187.08/489.63
  6. Step 6: Final answer
    x = 443.57

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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.