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Finding the Fourth Proportional to 940.74, 1,410.33 and 838.24

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Solution

The fourth proportional to 940.74, 1,410.33 and 838.24 is: 1,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.74 : 1,410.33 = 838.24 : x
  2. Step 2: Convert to fraction form
    940.74/1,410.33 = 838.24/x
  3. Step 3: Cross multiply
    940.74x = 1,410.33 × 838.24
  4. Step 4: Simplify right side
    940.74x = 1,182,195.02
  5. Step 5: Solve for x
    x = 1,182,195.02/940.74
  6. Step 6: Final answer
    x = 1,256.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.