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Finding the Fourth Proportional to 613.60, 919.64 and 339.28

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Solution

The fourth proportional to 613.60, 919.64 and 339.28 is: 508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.60 : 919.64 = 339.28 : x
  2. Step 2: Convert to fraction form
    613.60/919.64 = 339.28/x
  3. Step 3: Cross multiply
    613.60x = 919.64 × 339.28
  4. Step 4: Simplify right side
    613.60x = 312,015.46
  5. Step 5: Solve for x
    x = 312,015.46/613.60
  6. Step 6: Final answer
    x = 508.50

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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.