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Finding the Fourth Proportional to 852.52, 1,280.40 and 528.52

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Solution

The fourth proportional to 852.52, 1,280.40 and 528.52 is: 793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.52 : 1,280.40 = 528.52 : x
  2. Step 2: Convert to fraction form
    852.52/1,280.40 = 528.52/x
  3. Step 3: Cross multiply
    852.52x = 1,280.40 × 528.52
  4. Step 4: Simplify right side
    852.52x = 676,717.01
  5. Step 5: Solve for x
    x = 676,717.01/852.52
  6. Step 6: Final answer
    x = 793.78

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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.