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Finding the Fourth Proportional to 1,207.22, 1,665.93 and 683.30

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Solution

The fourth proportional to 1,207.22, 1,665.93 and 683.30 is: 942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.22 : 1,665.93 = 683.30 : x
  2. Step 2: Convert to fraction form
    1,207.22/1,665.93 = 683.30/x
  3. Step 3: Cross multiply
    1,207.22x = 1,665.93 × 683.30
  4. Step 4: Simplify right side
    1,207.22x = 1,138,329.97
  5. Step 5: Solve for x
    x = 1,138,329.97/1,207.22
  6. Step 6: Final answer
    x = 942.93

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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.