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Finding the Fourth Proportional to 952.33, 1,418.09 and 917.30

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Solution

The fourth proportional to 952.33, 1,418.09 and 917.30 is: 1,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.33 : 1,418.09 = 917.30 : x
  2. Step 2: Convert to fraction form
    952.33/1,418.09 = 917.30/x
  3. Step 3: Cross multiply
    952.33x = 1,418.09 × 917.30
  4. Step 4: Simplify right side
    952.33x = 1,300,820.94
  5. Step 5: Solve for x
    x = 1,300,820.94/952.33
  6. Step 6: Final answer
    x = 1,365.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.