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Finding the Fourth Proportional to 505.45, 695.44 and 394.74

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Solution

The fourth proportional to 505.45, 695.44 and 394.74 is: 543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.45 : 695.44 = 394.74 : x
  2. Step 2: Convert to fraction form
    505.45/695.44 = 394.74/x
  3. Step 3: Cross multiply
    505.45x = 695.44 × 394.74
  4. Step 4: Simplify right side
    505.45x = 274,515.97
  5. Step 5: Solve for x
    x = 274,515.97/505.45
  6. Step 6: Final answer
    x = 543.11

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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.