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Finding the Fourth Proportional to 485.11, 669.09 and 419.50

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Solution

The fourth proportional to 485.11, 669.09 and 419.50 is: 578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.11 : 669.09 = 419.50 : x
  2. Step 2: Convert to fraction form
    485.11/669.09 = 419.50/x
  3. Step 3: Cross multiply
    485.11x = 669.09 × 419.50
  4. Step 4: Simplify right side
    485.11x = 280,683.26
  5. Step 5: Solve for x
    x = 280,683.26/485.11
  6. Step 6: Final answer
    x = 578.60

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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.