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Finding the Fourth Proportional to 497.05, 685.28 and 319.69

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Solution

The fourth proportional to 497.05, 685.28 and 319.69 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.05 : 685.28 = 319.69 : x
  2. Step 2: Convert to fraction form
    497.05/685.28 = 319.69/x
  3. Step 3: Cross multiply
    497.05x = 685.28 × 319.69
  4. Step 4: Simplify right side
    497.05x = 219,080.10
  5. Step 5: Solve for x
    x = 219,080.10/497.05
  6. Step 6: Final answer
    x = 440.76

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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.