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Finding the Fourth Proportional to 776.94, 1,072.19 and 422.87

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Solution

The fourth proportional to 776.94, 1,072.19 and 422.87 is: 583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.94 : 1,072.19 = 422.87 : x
  2. Step 2: Convert to fraction form
    776.94/1,072.19 = 422.87/x
  3. Step 3: Cross multiply
    776.94x = 1,072.19 × 422.87
  4. Step 4: Simplify right side
    776.94x = 453,393.32
  5. Step 5: Solve for x
    x = 453,393.32/776.94
  6. Step 6: Final answer
    x = 583.56

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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.