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Finding the Fourth Proportional to 776.90, 1,072.19 and 427.61

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Solution

The fourth proportional to 776.90, 1,072.19 and 427.61 is: 590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.90 : 1,072.19 = 427.61 : x
  2. Step 2: Convert to fraction form
    776.90/1,072.19 = 427.61/x
  3. Step 3: Cross multiply
    776.90x = 1,072.19 × 427.61
  4. Step 4: Simplify right side
    776.90x = 458,474.87
  5. Step 5: Solve for x
    x = 458,474.87/776.90
  6. Step 6: Final answer
    x = 590.14

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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.