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Finding the Fourth Proportional to 619.40, 854.59 and 442.41

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Solution

The fourth proportional to 619.40, 854.59 and 442.41 is: 610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.40 : 854.59 = 442.41 : x
  2. Step 2: Convert to fraction form
    619.40/854.59 = 442.41/x
  3. Step 3: Cross multiply
    619.40x = 854.59 × 442.41
  4. Step 4: Simplify right side
    619.40x = 378,079.16
  5. Step 5: Solve for x
    x = 378,079.16/619.40
  6. Step 6: Final answer
    x = 610.40

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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.