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Finding the Fourth Proportional to 605.09, 907.62 and 209.74

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Solution

The fourth proportional to 605.09, 907.62 and 209.74 is: 314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.09 : 907.62 = 209.74 : x
  2. Step 2: Convert to fraction form
    605.09/907.62 = 209.74/x
  3. Step 3: Cross multiply
    605.09x = 907.62 × 209.74
  4. Step 4: Simplify right side
    605.09x = 190,364.22
  5. Step 5: Solve for x
    x = 190,364.22/605.09
  6. Step 6: Final answer
    x = 314.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.