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Finding the Fourth Proportional to 952.25, 1,314.29 and 538.25

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Solution

The fourth proportional to 952.25, 1,314.29 and 538.25 is: 742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.25 : 1,314.29 = 538.25 : x
  2. Step 2: Convert to fraction form
    952.25/1,314.29 = 538.25/x
  3. Step 3: Cross multiply
    952.25x = 1,314.29 × 538.25
  4. Step 4: Simplify right side
    952.25x = 707,413.90
  5. Step 5: Solve for x
    x = 707,413.90/952.25
  6. Step 6: Final answer
    x = 742.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.