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Finding the Fourth Proportional to 785.81, 1,084.42 and 471.26

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Solution

The fourth proportional to 785.81, 1,084.42 and 471.26 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.81 : 1,084.42 = 471.26 : x
  2. Step 2: Convert to fraction form
    785.81/1,084.42 = 471.26/x
  3. Step 3: Cross multiply
    785.81x = 1,084.42 × 471.26
  4. Step 4: Simplify right side
    785.81x = 511,037.46
  5. Step 5: Solve for x
    x = 511,037.46/785.81
  6. Step 6: Final answer
    x = 650.33

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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.