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Finding the Fourth Proportional to 443.49, 610.74 and 442.14

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Solution

The fourth proportional to 443.49, 610.74 and 442.14 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.49 : 610.74 = 442.14 : x
  2. Step 2: Convert to fraction form
    443.49/610.74 = 442.14/x
  3. Step 3: Cross multiply
    443.49x = 610.74 × 442.14
  4. Step 4: Simplify right side
    443.49x = 270,032.58
  5. Step 5: Solve for x
    x = 270,032.58/443.49
  6. Step 6: Final answer
    x = 608.88

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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.