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Finding the Fourth Proportional to 685.68, 944.60 and 566.88

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Solution

The fourth proportional to 685.68, 944.60 and 566.88 is: 780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 944.60 = 566.88 : x
  2. Step 2: Convert to fraction form
    685.68/944.60 = 566.88/x
  3. Step 3: Cross multiply
    685.68x = 944.60 × 566.88
  4. Step 4: Simplify right side
    685.68x = 535,474.85
  5. Step 5: Solve for x
    x = 535,474.85/685.68
  6. Step 6: Final answer
    x = 780.94

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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.