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Finding the Fourth Proportional to 986.91, 1,472.42 and 940.47

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Solution

The fourth proportional to 986.91, 1,472.42 and 940.47 is: 1,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.91 : 1,472.42 = 940.47 : x
  2. Step 2: Convert to fraction form
    986.91/1,472.42 = 940.47/x
  3. Step 3: Cross multiply
    986.91x = 1,472.42 × 940.47
  4. Step 4: Simplify right side
    986.91x = 1,384,766.84
  5. Step 5: Solve for x
    x = 1,384,766.84/986.91
  6. Step 6: Final answer
    x = 1,403.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.