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Finding the Fourth Proportional to 776.81, 1,072.07 and 427.57

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Solution

The fourth proportional to 776.81, 1,072.07 and 427.57 is: 590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.81 : 1,072.07 = 427.57 : x
  2. Step 2: Convert to fraction form
    776.81/1,072.07 = 427.57/x
  3. Step 3: Cross multiply
    776.81x = 1,072.07 × 427.57
  4. Step 4: Simplify right side
    776.81x = 458,383.36
  5. Step 5: Solve for x
    x = 458,383.36/776.81
  6. Step 6: Final answer
    x = 590.08

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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.