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Finding the Fourth Proportional to 455.57, 628.76 and 289.85

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Solution

The fourth proportional to 455.57, 628.76 and 289.85 is: 400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.57 : 628.76 = 289.85 : x
  2. Step 2: Convert to fraction form
    455.57/628.76 = 289.85/x
  3. Step 3: Cross multiply
    455.57x = 628.76 × 289.85
  4. Step 4: Simplify right side
    455.57x = 182,246.21
  5. Step 5: Solve for x
    x = 182,246.21/455.57
  6. Step 6: Final answer
    x = 400.04

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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.