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Finding the Fourth Proportional to 740.63, 1,022.89 and 683.22

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Solution

The fourth proportional to 740.63, 1,022.89 and 683.22 is: 943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.63 : 1,022.89 = 683.22 : x
  2. Step 2: Convert to fraction form
    740.63/1,022.89 = 683.22/x
  3. Step 3: Cross multiply
    740.63x = 1,022.89 × 683.22
  4. Step 4: Simplify right side
    740.63x = 698,858.91
  5. Step 5: Solve for x
    x = 698,858.91/740.63
  6. Step 6: Final answer
    x = 943.60

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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.