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Finding the Fourth Proportional to 619.47, 853.64 and 442.12

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Solution

The fourth proportional to 619.47, 853.64 and 442.12 is: 609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.47 : 853.64 = 442.12 : x
  2. Step 2: Convert to fraction form
    619.47/853.64 = 442.12/x
  3. Step 3: Cross multiply
    619.47x = 853.64 × 442.12
  4. Step 4: Simplify right side
    619.47x = 377,411.32
  5. Step 5: Solve for x
    x = 377,411.32/619.47
  6. Step 6: Final answer
    x = 609.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.