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Finding the Fourth Proportional to 785.36, 1,081.32 and 667.08

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Solution

The fourth proportional to 785.36, 1,081.32 and 667.08 is: 918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.36 : 1,081.32 = 667.08 : x
  2. Step 2: Convert to fraction form
    785.36/1,081.32 = 667.08/x
  3. Step 3: Cross multiply
    785.36x = 1,081.32 × 667.08
  4. Step 4: Simplify right side
    785.36x = 721,326.95
  5. Step 5: Solve for x
    x = 721,326.95/785.36
  6. Step 6: Final answer
    x = 918.47

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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.