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Finding the Fourth Proportional to 941.40, 1,404.36 and 833.40

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Solution

The fourth proportional to 941.40, 1,404.36 and 833.40 is: 1,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,404.36 = 833.40 : x
  2. Step 2: Convert to fraction form
    941.40/1,404.36 = 833.40/x
  3. Step 3: Cross multiply
    941.40x = 1,404.36 × 833.40
  4. Step 4: Simplify right side
    941.40x = 1,170,393.62
  5. Step 5: Solve for x
    x = 1,170,393.62/941.40
  6. Step 6: Final answer
    x = 1,243.25

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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.