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Finding the Fourth Proportional to 513.60, 709.36 and 345.26

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Solution

The fourth proportional to 513.60, 709.36 and 345.26 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 709.36 = 345.26 : x
  2. Step 2: Convert to fraction form
    513.60/709.36 = 345.26/x
  3. Step 3: Cross multiply
    513.60x = 709.36 × 345.26
  4. Step 4: Simplify right side
    513.60x = 244,912.90
  5. Step 5: Solve for x
    x = 244,912.90/513.60
  6. Step 6: Final answer
    x = 476.85

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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.