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Finding the Fourth Proportional to 776.89, 1,072.08 and 427.57

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Solution

The fourth proportional to 776.89, 1,072.08 and 427.57 is: 590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.89 : 1,072.08 = 427.57 : x
  2. Step 2: Convert to fraction form
    776.89/1,072.08 = 427.57/x
  3. Step 3: Cross multiply
    776.89x = 1,072.08 × 427.57
  4. Step 4: Simplify right side
    776.89x = 458,389.25
  5. Step 5: Solve for x
    x = 458,389.25/776.89
  6. Step 6: Final answer
    x = 590.03

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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.