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Finding the Fourth Proportional to 489.58, 673.65 and 443.00

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Solution

The fourth proportional to 489.58, 673.65 and 443.00 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.58 : 673.65 = 443.00 : x
  2. Step 2: Convert to fraction form
    489.58/673.65 = 443.00/x
  3. Step 3: Cross multiply
    489.58x = 673.65 × 443.00
  4. Step 4: Simplify right side
    489.58x = 298,428.63
  5. Step 5: Solve for x
    x = 298,428.63/489.58
  6. Step 6: Final answer
    x = 609.56

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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.