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Finding the Fourth Proportional to 777.24, 1,072.62 and 427.95

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Solution

The fourth proportional to 777.24, 1,072.62 and 427.95 is: 590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.24 : 1,072.62 = 427.95 : x
  2. Step 2: Convert to fraction form
    777.24/1,072.62 = 427.95/x
  3. Step 3: Cross multiply
    777.24x = 1,072.62 × 427.95
  4. Step 4: Simplify right side
    777.24x = 459,027.73
  5. Step 5: Solve for x
    x = 459,027.73/777.24
  6. Step 6: Final answer
    x = 590.59

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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.