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Finding the Fourth Proportional to 852.25, 1,280.08 and 824.23

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Solution

The fourth proportional to 852.25, 1,280.08 and 824.23 is: 1,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.25 : 1,280.08 = 824.23 : x
  2. Step 2: Convert to fraction form
    852.25/1,280.08 = 824.23/x
  3. Step 3: Cross multiply
    852.25x = 1,280.08 × 824.23
  4. Step 4: Simplify right side
    852.25x = 1,055,073.45
  5. Step 5: Solve for x
    x = 1,055,073.45/852.25
  6. Step 6: Final answer
    x = 1,237.99

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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.