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Finding the Fourth Proportional to 465.44, 641.30 and 399.04

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Solution

The fourth proportional to 465.44, 641.30 and 399.04 is: 549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.44 : 641.30 = 399.04 : x
  2. Step 2: Convert to fraction form
    465.44/641.30 = 399.04/x
  3. Step 3: Cross multiply
    465.44x = 641.30 × 399.04
  4. Step 4: Simplify right side
    465.44x = 255,904.35
  5. Step 5: Solve for x
    x = 255,904.35/465.44
  6. Step 6: Final answer
    x = 549.81

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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.