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Finding the Fourth Proportional to 421.48, 628.75 and 382.60

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Solution

The fourth proportional to 421.48, 628.75 and 382.60 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.48 : 628.75 = 382.60 : x
  2. Step 2: Convert to fraction form
    421.48/628.75 = 382.60/x
  3. Step 3: Cross multiply
    421.48x = 628.75 × 382.60
  4. Step 4: Simplify right side
    421.48x = 240,559.75
  5. Step 5: Solve for x
    x = 240,559.75/421.48
  6. Step 6: Final answer
    x = 570.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.