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Finding the Fourth Proportional to 777.12, 1,072.42 and 445.53

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Solution

The fourth proportional to 777.12, 1,072.42 and 445.53 is: 614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.12 : 1,072.42 = 445.53 : x
  2. Step 2: Convert to fraction form
    777.12/1,072.42 = 445.53/x
  3. Step 3: Cross multiply
    777.12x = 1,072.42 × 445.53
  4. Step 4: Simplify right side
    777.12x = 477,795.28
  5. Step 5: Solve for x
    x = 477,795.28/777.12
  6. Step 6: Final answer
    x = 614.83

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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.