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Finding the Fourth Proportional to 683.54, 942.08 and 564.81

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Solution

The fourth proportional to 683.54, 942.08 and 564.81 is: 778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.54 : 942.08 = 564.81 : x
  2. Step 2: Convert to fraction form
    683.54/942.08 = 564.81/x
  3. Step 3: Cross multiply
    683.54x = 942.08 × 564.81
  4. Step 4: Simplify right side
    683.54x = 532,096.20
  5. Step 5: Solve for x
    x = 532,096.20/683.54
  6. Step 6: Final answer
    x = 778.44

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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.