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Finding the Fourth Proportional to 651.28, 975.96 and 322.12

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Solution

The fourth proportional to 651.28, 975.96 and 322.12 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.28 : 975.96 = 322.12 : x
  2. Step 2: Convert to fraction form
    651.28/975.96 = 322.12/x
  3. Step 3: Cross multiply
    651.28x = 975.96 × 322.12
  4. Step 4: Simplify right side
    651.28x = 314,376.24
  5. Step 5: Solve for x
    x = 314,376.24/651.28
  6. Step 6: Final answer
    x = 482.71

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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.