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Finding the Fourth Proportional to 662.74, 993.59 and 328.98

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Solution

The fourth proportional to 662.74, 993.59 and 328.98 is: 493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.74 : 993.59 = 328.98 : x
  2. Step 2: Convert to fraction form
    662.74/993.59 = 328.98/x
  3. Step 3: Cross multiply
    662.74x = 993.59 × 328.98
  4. Step 4: Simplify right side
    662.74x = 326,874.55
  5. Step 5: Solve for x
    x = 326,874.55/662.74
  6. Step 6: Final answer
    x = 493.22

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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.