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Finding the Fourth Proportional to 505.43, 697.36 and 318.83

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Solution

The fourth proportional to 505.43, 697.36 and 318.83 is: 439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.43 : 697.36 = 318.83 : x
  2. Step 2: Convert to fraction form
    505.43/697.36 = 318.83/x
  3. Step 3: Cross multiply
    505.43x = 697.36 × 318.83
  4. Step 4: Simplify right side
    505.43x = 222,335.00
  5. Step 5: Solve for x
    x = 222,335.00/505.43
  6. Step 6: Final answer
    x = 439.89

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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.