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Finding the Fourth Proportional to 421.10, 579.91 and 419.73

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Solution

The fourth proportional to 421.10, 579.91 and 419.73 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.10 : 579.91 = 419.73 : x
  2. Step 2: Convert to fraction form
    421.10/579.91 = 419.73/x
  3. Step 3: Cross multiply
    421.10x = 579.91 × 419.73
  4. Step 4: Simplify right side
    421.10x = 243,404.57
  5. Step 5: Solve for x
    x = 243,404.57/421.10
  6. Step 6: Final answer
    x = 578.02

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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.