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Finding the Fourth Proportional to 605.70, 907.97 and 297.63

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Solution

The fourth proportional to 605.70, 907.97 and 297.63 is: 446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.70 : 907.97 = 297.63 : x
  2. Step 2: Convert to fraction form
    605.70/907.97 = 297.63/x
  3. Step 3: Cross multiply
    605.70x = 907.97 × 297.63
  4. Step 4: Simplify right side
    605.70x = 270,237.62
  5. Step 5: Solve for x
    x = 270,237.62/605.70
  6. Step 6: Final answer
    x = 446.16

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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.