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Finding the Fourth Proportional to 505.85, 698.12 and 319.32

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Solution

The fourth proportional to 505.85, 698.12 and 319.32 is: 440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.85 : 698.12 = 319.32 : x
  2. Step 2: Convert to fraction form
    505.85/698.12 = 319.32/x
  3. Step 3: Cross multiply
    505.85x = 698.12 × 319.32
  4. Step 4: Simplify right side
    505.85x = 222,922.08
  5. Step 5: Solve for x
    x = 222,922.08/505.85
  6. Step 6: Final answer
    x = 440.69

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1.5x scale

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.