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Finding the Fourth Proportional to 852.80, 1,280.40 and 528.80

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Solution

The fourth proportional to 852.80, 1,280.40 and 528.80 is: 793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.80 : 1,280.40 = 528.80 : x
  2. Step 2: Convert to fraction form
    852.80/1,280.40 = 528.80/x
  3. Step 3: Cross multiply
    852.80x = 1,280.40 × 528.80
  4. Step 4: Simplify right side
    852.80x = 677,075.52
  5. Step 5: Solve for x
    x = 677,075.52/852.80
  6. Step 6: Final answer
    x = 793.94

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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.