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Finding the Fourth Proportional to 962.33, 1,326.92 and 785.09

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Solution

The fourth proportional to 962.33, 1,326.92 and 785.09 is: 1,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.33 : 1,326.92 = 785.09 : x
  2. Step 2: Convert to fraction form
    962.33/1,326.92 = 785.09/x
  3. Step 3: Cross multiply
    962.33x = 1,326.92 × 785.09
  4. Step 4: Simplify right side
    962.33x = 1,041,751.01
  5. Step 5: Solve for x
    x = 1,041,751.01/962.33
  6. Step 6: Final answer
    x = 1,082.54

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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.