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Finding the Fourth Proportional to 505.70, 697.61 and 319.14

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Solution

The fourth proportional to 505.70, 697.61 and 319.14 is: 440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.70 : 697.61 = 319.14 : x
  2. Step 2: Convert to fraction form
    505.70/697.61 = 319.14/x
  3. Step 3: Cross multiply
    505.70x = 697.61 × 319.14
  4. Step 4: Simplify right side
    505.70x = 222,635.26
  5. Step 5: Solve for x
    x = 222,635.26/505.70
  6. Step 6: Final answer
    x = 440.25

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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.