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Finding the Fourth Proportional to 845.19, 1,267.77 and 671.92

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Solution

The fourth proportional to 845.19, 1,267.77 and 671.92 is: 1,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.19 : 1,267.77 = 671.92 : x
  2. Step 2: Convert to fraction form
    845.19/1,267.77 = 671.92/x
  3. Step 3: Cross multiply
    845.19x = 1,267.77 × 671.92
  4. Step 4: Simplify right side
    845.19x = 851,840.02
  5. Step 5: Solve for x
    x = 851,840.02/845.19
  6. Step 6: Final answer
    x = 1,007.87

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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.