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Finding the Fourth Proportional to 730.60, 1,094.96 and 345

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Solution

The fourth proportional to 730.60, 1,094.96 and 345 is: 517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,094.96 = 345 : x
  2. Step 2: Convert to fraction form
    730.60/1,094.96 = 345/x
  3. Step 3: Cross multiply
    730.60x = 1,094.96 × 345
  4. Step 4: Simplify right side
    730.60x = 377,761.20
  5. Step 5: Solve for x
    x = 377,761.20/730.60
  6. Step 6: Final answer
    x = 517.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.