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Finding the Fourth Proportional to 605.93, 909.15 and 411.15

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Solution

The fourth proportional to 605.93, 909.15 and 411.15 is: 616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.93 : 909.15 = 411.15 : x
  2. Step 2: Convert to fraction form
    605.93/909.15 = 411.15/x
  3. Step 3: Cross multiply
    605.93x = 909.15 × 411.15
  4. Step 4: Simplify right side
    605.93x = 373,797.02
  5. Step 5: Solve for x
    x = 373,797.02/605.93
  6. Step 6: Final answer
    x = 616.90

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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.