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Finding the Fourth Proportional to 612.60, 920.34 and 504.60

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Solution

The fourth proportional to 612.60, 920.34 and 504.60 is: 758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.60 : 920.34 = 504.60 : x
  2. Step 2: Convert to fraction form
    612.60/920.34 = 504.60/x
  3. Step 3: Cross multiply
    612.60x = 920.34 × 504.60
  4. Step 4: Simplify right side
    612.60x = 464,403.56
  5. Step 5: Solve for x
    x = 464,403.56/612.60
  6. Step 6: Final answer
    x = 758.09

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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.