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Finding the Fourth Proportional to 681.84, 941.22 and 506.88

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Solution

The fourth proportional to 681.84, 941.22 and 506.88 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 941.22 = 506.88 : x
  2. Step 2: Convert to fraction form
    681.84/941.22 = 506.88/x
  3. Step 3: Cross multiply
    681.84x = 941.22 × 506.88
  4. Step 4: Simplify right side
    681.84x = 477,085.59
  5. Step 5: Solve for x
    x = 477,085.59/681.84
  6. Step 6: Final answer
    x = 699.70

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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.