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Finding the Fourth Proportional to 902.78, 1,246.20 and 681.78

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Solution

The fourth proportional to 902.78, 1,246.20 and 681.78 is: 941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.78 : 1,246.20 = 681.78 : x
  2. Step 2: Convert to fraction form
    902.78/1,246.20 = 681.78/x
  3. Step 3: Cross multiply
    902.78x = 1,246.20 × 681.78
  4. Step 4: Simplify right side
    902.78x = 849,634.24
  5. Step 5: Solve for x
    x = 849,634.24/902.78
  6. Step 6: Final answer
    x = 941.13

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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.