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Finding the Fourth Proportional to 506.64, 698.76 and 426.60

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Solution

The fourth proportional to 506.64, 698.76 and 426.60 is: 588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.64 : 698.76 = 426.60 : x
  2. Step 2: Convert to fraction form
    506.64/698.76 = 426.60/x
  3. Step 3: Cross multiply
    506.64x = 698.76 × 426.60
  4. Step 4: Simplify right side
    506.64x = 298,091.02
  5. Step 5: Solve for x
    x = 298,091.02/506.64
  6. Step 6: Final answer
    x = 588.37

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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.