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Finding the Fourth Proportional to 845.25, 1,265.91 and 816.05

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Solution

The fourth proportional to 845.25, 1,265.91 and 816.05 is: 1,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.25 : 1,265.91 = 816.05 : x
  2. Step 2: Convert to fraction form
    845.25/1,265.91 = 816.05/x
  3. Step 3: Cross multiply
    845.25x = 1,265.91 × 816.05
  4. Step 4: Simplify right side
    845.25x = 1,033,035.45
  5. Step 5: Solve for x
    x = 1,033,035.45/845.25
  6. Step 6: Final answer
    x = 1,222.17

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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.