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Finding the Fourth Proportional to 651.16, 975.06 and 326.80

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Solution

The fourth proportional to 651.16, 975.06 and 326.80 is: 489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 975.06 = 326.80 : x
  2. Step 2: Convert to fraction form
    651.16/975.06 = 326.80/x
  3. Step 3: Cross multiply
    651.16x = 975.06 × 326.80
  4. Step 4: Simplify right side
    651.16x = 318,649.61
  5. Step 5: Solve for x
    x = 318,649.61/651.16
  6. Step 6: Final answer
    x = 489.36

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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.