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Finding the Fourth Proportional to 852.88, 1,280.86 and 442.30

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Solution

The fourth proportional to 852.88, 1,280.86 and 442.30 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.88 : 1,280.86 = 442.30 : x
  2. Step 2: Convert to fraction form
    852.88/1,280.86 = 442.30/x
  3. Step 3: Cross multiply
    852.88x = 1,280.86 × 442.30
  4. Step 4: Simplify right side
    852.88x = 566,524.38
  5. Step 5: Solve for x
    x = 566,524.38/852.88
  6. Step 6: Final answer
    x = 664.25

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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.