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Finding the Fourth Proportional to 777.26, 1,072.58 and 427.95

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Solution

The fourth proportional to 777.26, 1,072.58 and 427.95 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.26 : 1,072.58 = 427.95 : x
  2. Step 2: Convert to fraction form
    777.26/1,072.58 = 427.95/x
  3. Step 3: Cross multiply
    777.26x = 1,072.58 × 427.95
  4. Step 4: Simplify right side
    777.26x = 459,008.47
  5. Step 5: Solve for x
    x = 459,008.47/777.26
  6. Step 6: Final answer
    x = 590.55

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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.