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Finding the Fourth Proportional to 853.47, 1,280.60 and 442.38

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Solution

The fourth proportional to 853.47, 1,280.60 and 442.38 is: 663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.47 : 1,280.60 = 442.38 : x
  2. Step 2: Convert to fraction form
    853.47/1,280.60 = 442.38/x
  3. Step 3: Cross multiply
    853.47x = 1,280.60 × 442.38
  4. Step 4: Simplify right side
    853.47x = 566,511.83
  5. Step 5: Solve for x
    x = 566,511.83/853.47
  6. Step 6: Final answer
    x = 663.78

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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.