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Finding the Fourth Proportional to 455.35, 628.40 and 289.43

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Solution

The fourth proportional to 455.35, 628.40 and 289.43 is: 399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.35 : 628.40 = 289.43 : x
  2. Step 2: Convert to fraction form
    455.35/628.40 = 289.43/x
  3. Step 3: Cross multiply
    455.35x = 628.40 × 289.43
  4. Step 4: Simplify right side
    455.35x = 181,877.81
  5. Step 5: Solve for x
    x = 181,877.81/455.35
  6. Step 6: Final answer
    x = 399.42

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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.