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Finding the Fourth Proportional to 610.36, 915.10 and 415.38

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Solution

The fourth proportional to 610.36, 915.10 and 415.38 is: 622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.36 : 915.10 = 415.38 : x
  2. Step 2: Convert to fraction form
    610.36/915.10 = 415.38/x
  3. Step 3: Cross multiply
    610.36x = 915.10 × 415.38
  4. Step 4: Simplify right side
    610.36x = 380,114.24
  5. Step 5: Solve for x
    x = 380,114.24/610.36
  6. Step 6: Final answer
    x = 622.77

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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.