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Finding the Fourth Proportional to 605.42, 835.13 and 356.70

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Solution

The fourth proportional to 605.42, 835.13 and 356.70 is: 492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.42 : 835.13 = 356.70 : x
  2. Step 2: Convert to fraction form
    605.42/835.13 = 356.70/x
  3. Step 3: Cross multiply
    605.42x = 835.13 × 356.70
  4. Step 4: Simplify right side
    605.42x = 297,890.87
  5. Step 5: Solve for x
    x = 297,890.87/605.42
  6. Step 6: Final answer
    x = 492.04

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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.