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Finding the Fourth Proportional to 485.64, 669.89 and 319.79

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Solution

The fourth proportional to 485.64, 669.89 and 319.79 is: 441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.64 : 669.89 = 319.79 : x
  2. Step 2: Convert to fraction form
    485.64/669.89 = 319.79/x
  3. Step 3: Cross multiply
    485.64x = 669.89 × 319.79
  4. Step 4: Simplify right side
    485.64x = 214,226.60
  5. Step 5: Solve for x
    x = 214,226.60/485.64
  6. Step 6: Final answer
    x = 441.12

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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.