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Finding the Fourth Proportional to 777.20, 1,072.53 and 445.61

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Solution

The fourth proportional to 777.20, 1,072.53 and 445.61 is: 614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.20 : 1,072.53 = 445.61 : x
  2. Step 2: Convert to fraction form
    777.20/1,072.53 = 445.61/x
  3. Step 3: Cross multiply
    777.20x = 1,072.53 × 445.61
  4. Step 4: Simplify right side
    777.20x = 477,932.77
  5. Step 5: Solve for x
    x = 477,932.77/777.20
  6. Step 6: Final answer
    x = 614.95

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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.