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Finding the Fourth Proportional to 952.56, 1,427.22 and 646.38

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Solution

The fourth proportional to 952.56, 1,427.22 and 646.38 is: 968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.56 : 1,427.22 = 646.38 : x
  2. Step 2: Convert to fraction form
    952.56/1,427.22 = 646.38/x
  3. Step 3: Cross multiply
    952.56x = 1,427.22 × 646.38
  4. Step 4: Simplify right side
    952.56x = 922,526.46
  5. Step 5: Solve for x
    x = 922,526.46/952.56
  6. Step 6: Final answer
    x = 968.47

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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.