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Finding the Fourth Proportional to 505.20, 695.34 and 439.32

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Solution

The fourth proportional to 505.20, 695.34 and 439.32 is: 604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.20 : 695.34 = 439.32 : x
  2. Step 2: Convert to fraction form
    505.20/695.34 = 439.32/x
  3. Step 3: Cross multiply
    505.20x = 695.34 × 439.32
  4. Step 4: Simplify right side
    505.20x = 305,476.77
  5. Step 5: Solve for x
    x = 305,476.77/505.20
  6. Step 6: Final answer
    x = 604.67

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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.