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Finding the Fourth Proportional to 940.74, 1,404.38 and 817.76

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Solution

The fourth proportional to 940.74, 1,404.38 and 817.76 is: 1,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.74 : 1,404.38 = 817.76 : x
  2. Step 2: Convert to fraction form
    940.74/1,404.38 = 817.76/x
  3. Step 3: Cross multiply
    940.74x = 1,404.38 × 817.76
  4. Step 4: Simplify right side
    940.74x = 1,148,434.68
  5. Step 5: Solve for x
    x = 1,148,434.68/940.74
  6. Step 6: Final answer
    x = 1,220.78

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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.