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Finding the Fourth Proportional to 610.53, 915.78 and 415.05

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Solution

The fourth proportional to 610.53, 915.78 and 415.05 is: 622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.53 : 915.78 = 415.05 : x
  2. Step 2: Convert to fraction form
    610.53/915.78 = 415.05/x
  3. Step 3: Cross multiply
    610.53x = 915.78 × 415.05
  4. Step 4: Simplify right side
    610.53x = 380,094.49
  5. Step 5: Solve for x
    x = 380,094.49/610.53
  6. Step 6: Final answer
    x = 622.56

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