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Finding the Fourth Proportional to 505.28, 697.48 and 339.44

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Solution

The fourth proportional to 505.28, 697.48 and 339.44 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.28 : 697.48 = 339.44 : x
  2. Step 2: Convert to fraction form
    505.28/697.48 = 339.44/x
  3. Step 3: Cross multiply
    505.28x = 697.48 × 339.44
  4. Step 4: Simplify right side
    505.28x = 236,752.61
  5. Step 5: Solve for x
    x = 236,752.61/505.28
  6. Step 6: Final answer
    x = 468.56

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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.