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Finding the Fourth Proportional to 485.83, 669.82 and 319.75

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Solution

The fourth proportional to 485.83, 669.82 and 319.75 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.83 : 669.82 = 319.75 : x
  2. Step 2: Convert to fraction form
    485.83/669.82 = 319.75/x
  3. Step 3: Cross multiply
    485.83x = 669.82 × 319.75
  4. Step 4: Simplify right side
    485.83x = 214,174.95
  5. Step 5: Solve for x
    x = 214,174.95/485.83
  6. Step 6: Final answer
    x = 440.84

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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.