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Finding the Fourth Proportional to 777.08, 1,072.36 and 427.78

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Solution

The fourth proportional to 777.08, 1,072.36 and 427.78 is: 590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.08 : 1,072.36 = 427.78 : x
  2. Step 2: Convert to fraction form
    777.08/1,072.36 = 427.78/x
  3. Step 3: Cross multiply
    777.08x = 1,072.36 × 427.78
  4. Step 4: Simplify right side
    777.08x = 458,734.16
  5. Step 5: Solve for x
    x = 458,734.16/777.08
  6. Step 6: Final answer
    x = 590.33

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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.