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Finding the Fourth Proportional to 786.02, 1,084.08 and 668.39

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Solution

The fourth proportional to 786.02, 1,084.08 and 668.39 is: 921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.02 : 1,084.08 = 668.39 : x
  2. Step 2: Convert to fraction form
    786.02/1,084.08 = 668.39/x
  3. Step 3: Cross multiply
    786.02x = 1,084.08 × 668.39
  4. Step 4: Simplify right side
    786.02x = 724,588.23
  5. Step 5: Solve for x
    x = 724,588.23/786.02
  6. Step 6: Final answer
    x = 921.84

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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.