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Finding the Fourth Proportional to 778.94, 1,075.02 and 495.56

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Solution

The fourth proportional to 778.94, 1,075.02 and 495.56 is: 683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.94 : 1,075.02 = 495.56 : x
  2. Step 2: Convert to fraction form
    778.94/1,075.02 = 495.56/x
  3. Step 3: Cross multiply
    778.94x = 1,075.02 × 495.56
  4. Step 4: Simplify right side
    778.94x = 532,736.91
  5. Step 5: Solve for x
    x = 532,736.91/778.94
  6. Step 6: Final answer
    x = 683.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.