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Finding the Fourth Proportional to 777.22, 1,072.31 and 478.15

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Solution

The fourth proportional to 777.22, 1,072.31 and 478.15 is: 659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.22 : 1,072.31 = 478.15 : x
  2. Step 2: Convert to fraction form
    777.22/1,072.31 = 478.15/x
  3. Step 3: Cross multiply
    777.22x = 1,072.31 × 478.15
  4. Step 4: Simplify right side
    777.22x = 512,725.03
  5. Step 5: Solve for x
    x = 512,725.03/777.22
  6. Step 6: Final answer
    x = 659.69

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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.