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Finding the Fourth Proportional to 969.09, 1,335.40 and 703.07

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Solution

The fourth proportional to 969.09, 1,335.40 and 703.07 is: 968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.09 : 1,335.40 = 703.07 : x
  2. Step 2: Convert to fraction form
    969.09/1,335.40 = 703.07/x
  3. Step 3: Cross multiply
    969.09x = 1,335.40 × 703.07
  4. Step 4: Simplify right side
    969.09x = 938,879.68
  5. Step 5: Solve for x
    x = 938,879.68/969.09
  6. Step 6: Final answer
    x = 968.83

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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.