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Finding the Fourth Proportional to 681.69, 941.07 and 419.85

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Solution

The fourth proportional to 681.69, 941.07 and 419.85 is: 579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 941.07 = 419.85 : x
  2. Step 2: Convert to fraction form
    681.69/941.07 = 419.85/x
  3. Step 3: Cross multiply
    681.69x = 941.07 × 419.85
  4. Step 4: Simplify right side
    681.69x = 395,108.24
  5. Step 5: Solve for x
    x = 395,108.24/681.69
  6. Step 6: Final answer
    x = 579.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.