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Finding the Fourth Proportional to 465.83, 697.84 and 319.56

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Solution

The fourth proportional to 465.83, 697.84 and 319.56 is: 478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.83 : 697.84 = 319.56 : x
  2. Step 2: Convert to fraction form
    465.83/697.84 = 319.56/x
  3. Step 3: Cross multiply
    465.83x = 697.84 × 319.56
  4. Step 4: Simplify right side
    465.83x = 223,000.95
  5. Step 5: Solve for x
    x = 223,000.95/465.83
  6. Step 6: Final answer
    x = 478.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.