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Finding the Fourth Proportional to 505.66, 698.14 and 319.20

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Solution

The fourth proportional to 505.66, 698.14 and 319.20 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 698.14 = 319.20 : x
  2. Step 2: Convert to fraction form
    505.66/698.14 = 319.20/x
  3. Step 3: Cross multiply
    505.66x = 698.14 × 319.20
  4. Step 4: Simplify right side
    505.66x = 222,846.29
  5. Step 5: Solve for x
    x = 222,846.29/505.66
  6. Step 6: Final answer
    x = 440.70

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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.