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Finding the Fourth Proportional to 784.82, 1,084.22 and 666.60

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Solution

The fourth proportional to 784.82, 1,084.22 and 666.60 is: 920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.82 : 1,084.22 = 666.60 : x
  2. Step 2: Convert to fraction form
    784.82/1,084.22 = 666.60/x
  3. Step 3: Cross multiply
    784.82x = 1,084.22 × 666.60
  4. Step 4: Simplify right side
    784.82x = 722,741.05
  5. Step 5: Solve for x
    x = 722,741.05/784.82
  6. Step 6: Final answer
    x = 920.90

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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.