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Finding the Fourth Proportional to 605.03, 835.10 and 395.10

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Solution

The fourth proportional to 605.03, 835.10 and 395.10 is: 545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.03 : 835.10 = 395.10 : x
  2. Step 2: Convert to fraction form
    605.03/835.10 = 395.10/x
  3. Step 3: Cross multiply
    605.03x = 835.10 × 395.10
  4. Step 4: Simplify right side
    605.03x = 329,946.03
  5. Step 5: Solve for x
    x = 329,946.03/605.03
  6. Step 6: Final answer
    x = 545.34

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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.