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Finding the Fourth Proportional to 605.53, 909.11 and 345.79

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Solution

The fourth proportional to 605.53, 909.11 and 345.79 is: 519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.53 : 909.11 = 345.79 : x
  2. Step 2: Convert to fraction form
    605.53/909.11 = 345.79/x
  3. Step 3: Cross multiply
    605.53x = 909.11 × 345.79
  4. Step 4: Simplify right side
    605.53x = 314,361.15
  5. Step 5: Solve for x
    x = 314,361.15/605.53
  6. Step 6: Final answer
    x = 519.15

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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.