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Finding the Fourth Proportional to 1,070.80, 1,604.78 and 550.78

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Solution

The fourth proportional to 1,070.80, 1,604.78 and 550.78 is: 825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.80 : 1,604.78 = 550.78 : x
  2. Step 2: Convert to fraction form
    1,070.80/1,604.78 = 550.78/x
  3. Step 3: Cross multiply
    1,070.80x = 1,604.78 × 550.78
  4. Step 4: Simplify right side
    1,070.80x = 883,880.73
  5. Step 5: Solve for x
    x = 883,880.73/1,070.80
  6. Step 6: Final answer
    x = 825.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.