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Finding the Fourth Proportional to 952.38, 1,428.21 and 465.30

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Solution

The fourth proportional to 952.38, 1,428.21 and 465.30 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.38 : 1,428.21 = 465.30 : x
  2. Step 2: Convert to fraction form
    952.38/1,428.21 = 465.30/x
  3. Step 3: Cross multiply
    952.38x = 1,428.21 × 465.30
  4. Step 4: Simplify right side
    952.38x = 664,546.11
  5. Step 5: Solve for x
    x = 664,546.11/952.38
  6. Step 6: Final answer
    x = 697.77

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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.