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Finding the Fourth Proportional to 844.84, 1,262.93 and 650.44

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Solution

The fourth proportional to 844.84, 1,262.93 and 650.44 is: 972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.84 : 1,262.93 = 650.44 : x
  2. Step 2: Convert to fraction form
    844.84/1,262.93 = 650.44/x
  3. Step 3: Cross multiply
    844.84x = 1,262.93 × 650.44
  4. Step 4: Simplify right side
    844.84x = 821,460.19
  5. Step 5: Solve for x
    x = 821,460.19/844.84
  6. Step 6: Final answer
    x = 972.33

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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.