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Finding the Fourth Proportional to 605.33, 907.37 and 280.43

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Solution

The fourth proportional to 605.33, 907.37 and 280.43 is: 420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.33 : 907.37 = 280.43 : x
  2. Step 2: Convert to fraction form
    605.33/907.37 = 280.43/x
  3. Step 3: Cross multiply
    605.33x = 907.37 × 280.43
  4. Step 4: Simplify right side
    605.33x = 254,452.37
  5. Step 5: Solve for x
    x = 254,452.37/605.33
  6. Step 6: Final answer
    x = 420.35

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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.