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Finding the Fourth Proportional to 675.57, 1,014.19 and 443.73

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Solution

The fourth proportional to 675.57, 1,014.19 and 443.73 is: 666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.57 : 1,014.19 = 443.73 : x
  2. Step 2: Convert to fraction form
    675.57/1,014.19 = 443.73/x
  3. Step 3: Cross multiply
    675.57x = 1,014.19 × 443.73
  4. Step 4: Simplify right side
    675.57x = 450,024.31
  5. Step 5: Solve for x
    x = 450,024.31/675.57
  6. Step 6: Final answer
    x = 666.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.