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Finding the Fourth Proportional to 605.32, 835.60 and 409.10

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Solution

The fourth proportional to 605.32, 835.60 and 409.10 is: 564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.32 : 835.60 = 409.10 : x
  2. Step 2: Convert to fraction form
    605.32/835.60 = 409.10/x
  3. Step 3: Cross multiply
    605.32x = 835.60 × 409.10
  4. Step 4: Simplify right side
    605.32x = 341,837.74
  5. Step 5: Solve for x
    x = 341,837.74/605.32
  6. Step 6: Final answer
    x = 564.72

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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.