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Finding the Fourth Proportional to 683.16, 935.69 and 643.26

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Solution

The fourth proportional to 683.16, 935.69 and 643.26 is: 881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 935.69 = 643.26 : x
  2. Step 2: Convert to fraction form
    683.16/935.69 = 643.26/x
  3. Step 3: Cross multiply
    683.16x = 935.69 × 643.26
  4. Step 4: Simplify right side
    683.16x = 601,888.73
  5. Step 5: Solve for x
    x = 601,888.73/683.16
  6. Step 6: Final answer
    x = 881.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.