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Finding the Fourth Proportional to 619.26, 849.86 and 560.94

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Solution

The fourth proportional to 619.26, 849.86 and 560.94 is: 769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.26 : 849.86 = 560.94 : x
  2. Step 2: Convert to fraction form
    619.26/849.86 = 560.94/x
  3. Step 3: Cross multiply
    619.26x = 849.86 × 560.94
  4. Step 4: Simplify right side
    619.26x = 476,717.66
  5. Step 5: Solve for x
    x = 476,717.66/619.26
  6. Step 6: Final answer
    x = 769.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.