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Finding the Fourth Proportional to 455.43, 628.59 and 289.51

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Solution

The fourth proportional to 455.43, 628.59 and 289.51 is: 399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.43 : 628.59 = 289.51 : x
  2. Step 2: Convert to fraction form
    455.43/628.59 = 289.51/x
  3. Step 3: Cross multiply
    455.43x = 628.59 × 289.51
  4. Step 4: Simplify right side
    455.43x = 181,983.09
  5. Step 5: Solve for x
    x = 181,983.09/455.43
  6. Step 6: Final answer
    x = 399.59

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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.