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Finding the Fourth Proportional to 965.98, 1,333.26 and 612.39

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Solution

The fourth proportional to 965.98, 1,333.26 and 612.39 is: 845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.98 : 1,333.26 = 612.39 : x
  2. Step 2: Convert to fraction form
    965.98/1,333.26 = 612.39/x
  3. Step 3: Cross multiply
    965.98x = 1,333.26 × 612.39
  4. Step 4: Simplify right side
    965.98x = 816,468.84
  5. Step 5: Solve for x
    x = 816,468.84/965.98
  6. Step 6: Final answer
    x = 845.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.