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Finding the Fourth Proportional to 605.70, 909.54 and 376.05

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Solution

The fourth proportional to 605.70, 909.54 and 376.05 is: 564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.70 : 909.54 = 376.05 : x
  2. Step 2: Convert to fraction form
    605.70/909.54 = 376.05/x
  3. Step 3: Cross multiply
    605.70x = 909.54 × 376.05
  4. Step 4: Simplify right side
    605.70x = 342,032.52
  5. Step 5: Solve for x
    x = 342,032.52/605.70
  6. Step 6: Final answer
    x = 564.69

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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.