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Finding the Fourth Proportional to 952.23, 1,426.83 and 642.93

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Solution

The fourth proportional to 952.23, 1,426.83 and 642.93 is: 963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.23 : 1,426.83 = 642.93 : x
  2. Step 2: Convert to fraction form
    952.23/1,426.83 = 642.93/x
  3. Step 3: Cross multiply
    952.23x = 1,426.83 × 642.93
  4. Step 4: Simplify right side
    952.23x = 917,351.81
  5. Step 5: Solve for x
    x = 917,351.81/952.23
  6. Step 6: Final answer
    x = 963.37

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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.