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Finding the Fourth Proportional to 845.25, 1,267.42 and 649.77

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Solution

The fourth proportional to 845.25, 1,267.42 and 649.77 is: 974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.25 : 1,267.42 = 649.77 : x
  2. Step 2: Convert to fraction form
    845.25/1,267.42 = 649.77/x
  3. Step 3: Cross multiply
    845.25x = 1,267.42 × 649.77
  4. Step 4: Simplify right side
    845.25x = 823,531.49
  5. Step 5: Solve for x
    x = 823,531.49/845.25
  6. Step 6: Final answer
    x = 974.31

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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.