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Finding the Fourth Proportional to 845.78, 1,262.26 and 776.05

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Solution

The fourth proportional to 845.78, 1,262.26 and 776.05 is: 1,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.78 : 1,262.26 = 776.05 : x
  2. Step 2: Convert to fraction form
    845.78/1,262.26 = 776.05/x
  3. Step 3: Cross multiply
    845.78x = 1,262.26 × 776.05
  4. Step 4: Simplify right side
    845.78x = 979,576.87
  5. Step 5: Solve for x
    x = 979,576.87/845.78
  6. Step 6: Final answer
    x = 1,158.19

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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.