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Finding the Fourth Proportional to 605.41, 835.10 and 380.98

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Solution

The fourth proportional to 605.41, 835.10 and 380.98 is: 525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.41 : 835.10 = 380.98 : x
  2. Step 2: Convert to fraction form
    605.41/835.10 = 380.98/x
  3. Step 3: Cross multiply
    605.41x = 835.10 × 380.98
  4. Step 4: Simplify right side
    605.41x = 318,156.40
  5. Step 5: Solve for x
    x = 318,156.40/605.41
  6. Step 6: Final answer
    x = 525.53

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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.