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Finding the Fourth Proportional to 683.44, 945.48 and 566.80

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Solution

The fourth proportional to 683.44, 945.48 and 566.80 is: 784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 945.48 = 566.80 : x
  2. Step 2: Convert to fraction form
    683.44/945.48 = 566.80/x
  3. Step 3: Cross multiply
    683.44x = 945.48 × 566.80
  4. Step 4: Simplify right side
    683.44x = 535,898.06
  5. Step 5: Solve for x
    x = 535,898.06/683.44
  6. Step 6: Final answer
    x = 784.12

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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.