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Finding the Fourth Proportional to 853.70, 1,280.39 and 298.47

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Solution

The fourth proportional to 853.70, 1,280.39 and 298.47 is: 447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.70 : 1,280.39 = 298.47 : x
  2. Step 2: Convert to fraction form
    853.70/1,280.39 = 298.47/x
  3. Step 3: Cross multiply
    853.70x = 1,280.39 × 298.47
  4. Step 4: Simplify right side
    853.70x = 382,156.51
  5. Step 5: Solve for x
    x = 382,156.51/853.70
  6. Step 6: Final answer
    x = 447.65

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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.