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Finding the Fourth Proportional to 975.36, 1,453.48 and 948.63

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Solution

The fourth proportional to 975.36, 1,453.48 and 948.63 is: 1,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.36 : 1,453.48 = 948.63 : x
  2. Step 2: Convert to fraction form
    975.36/1,453.48 = 948.63/x
  3. Step 3: Cross multiply
    975.36x = 1,453.48 × 948.63
  4. Step 4: Simplify right side
    975.36x = 1,378,809.64
  5. Step 5: Solve for x
    x = 1,378,809.64/975.36
  6. Step 6: Final answer
    x = 1,413.64

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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.