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Finding the Fourth Proportional to 442.10, 619.75 and 442.10

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Solution

The fourth proportional to 442.10, 619.75 and 442.10 is: 619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 619.75 = 442.10 : x
  2. Step 2: Convert to fraction form
    442.10/619.75 = 442.10/x
  3. Step 3: Cross multiply
    442.10x = 619.75 × 442.10
  4. Step 4: Simplify right side
    442.10x = 273,991.48
  5. Step 5: Solve for x
    x = 273,991.48/442.10
  6. Step 6: Final answer
    x = 619.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.