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Finding the Fourth Proportional to 610.42, 915.63 and 321.25

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Solution

The fourth proportional to 610.42, 915.63 and 321.25 is: 481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.42 : 915.63 = 321.25 : x
  2. Step 2: Convert to fraction form
    610.42/915.63 = 321.25/x
  3. Step 3: Cross multiply
    610.42x = 915.63 × 321.25
  4. Step 4: Simplify right side
    610.42x = 294,146.14
  5. Step 5: Solve for x
    x = 294,146.14/610.42
  6. Step 6: Final answer
    x = 481.88

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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.