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Finding the Fourth Proportional to 965.09, 1,435.22 and 934.34

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Solution

The fourth proportional to 965.09, 1,435.22 and 934.34 is: 1,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.09 : 1,435.22 = 934.34 : x
  2. Step 2: Convert to fraction form
    965.09/1,435.22 = 934.34/x
  3. Step 3: Cross multiply
    965.09x = 1,435.22 × 934.34
  4. Step 4: Simplify right side
    965.09x = 1,340,975.11
  5. Step 5: Solve for x
    x = 1,340,975.11/965.09
  6. Step 6: Final answer
    x = 1,389.48

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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.