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Finding the Fourth Proportional to 455.10, 628.71 and 420.54

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Solution

The fourth proportional to 455.10, 628.71 and 420.54 is: 580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.10 : 628.71 = 420.54 : x
  2. Step 2: Convert to fraction form
    455.10/628.71 = 420.54/x
  3. Step 3: Cross multiply
    455.10x = 628.71 × 420.54
  4. Step 4: Simplify right side
    455.10x = 264,397.70
  5. Step 5: Solve for x
    x = 264,397.70/455.10
  6. Step 6: Final answer
    x = 580.97

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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.