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Finding the Fourth Proportional to 435.75, 654.02 and 389.41

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Solution

The fourth proportional to 435.75, 654.02 and 389.41 is: 584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.75 : 654.02 = 389.41 : x
  2. Step 2: Convert to fraction form
    435.75/654.02 = 389.41/x
  3. Step 3: Cross multiply
    435.75x = 654.02 × 389.41
  4. Step 4: Simplify right side
    435.75x = 254,682.90
  5. Step 5: Solve for x
    x = 254,682.90/435.75
  6. Step 6: Final answer
    x = 584.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.