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Finding the Fourth Proportional to 952.37, 1,428.45 and 646.19

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Solution

The fourth proportional to 952.37, 1,428.45 and 646.19 is: 969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.37 : 1,428.45 = 646.19 : x
  2. Step 2: Convert to fraction form
    952.37/1,428.45 = 646.19/x
  3. Step 3: Cross multiply
    952.37x = 1,428.45 × 646.19
  4. Step 4: Simplify right side
    952.37x = 923,050.11
  5. Step 5: Solve for x
    x = 923,050.11/952.37
  6. Step 6: Final answer
    x = 969.21

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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.