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Finding the Fourth Proportional to 605.71, 835.78 and 357.00

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Solution

The fourth proportional to 605.71, 835.78 and 357.00 is: 492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.71 : 835.78 = 357.00 : x
  2. Step 2: Convert to fraction form
    605.71/835.78 = 357.00/x
  3. Step 3: Cross multiply
    605.71x = 835.78 × 357.00
  4. Step 4: Simplify right side
    605.71x = 298,372.26
  5. Step 5: Solve for x
    x = 298,372.26/605.71
  6. Step 6: Final answer
    x = 492.60

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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.