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Finding the Fourth Proportional to 421.52, 628.54 and 404.96

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Solution

The fourth proportional to 421.52, 628.54 and 404.96 is: 603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 628.54 = 404.96 : x
  2. Step 2: Convert to fraction form
    421.52/628.54 = 404.96/x
  3. Step 3: Cross multiply
    421.52x = 628.54 × 404.96
  4. Step 4: Simplify right side
    421.52x = 254,533.56
  5. Step 5: Solve for x
    x = 254,533.56/421.52
  6. Step 6: Final answer
    x = 603.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.