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Finding the Fourth Proportional to 651.10, 975.39 and 326.74

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Solution

The fourth proportional to 651.10, 975.39 and 326.74 is: 489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.10 : 975.39 = 326.74 : x
  2. Step 2: Convert to fraction form
    651.10/975.39 = 326.74/x
  3. Step 3: Cross multiply
    651.10x = 975.39 × 326.74
  4. Step 4: Simplify right side
    651.10x = 318,698.93
  5. Step 5: Solve for x
    x = 318,698.93/651.10
  6. Step 6: Final answer
    x = 489.48

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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.