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Finding the Fourth Proportional to 421.08, 627.90 and 417.42

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Solution

The fourth proportional to 421.08, 627.90 and 417.42 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.08 : 627.90 = 417.42 : x
  2. Step 2: Convert to fraction form
    421.08/627.90 = 417.42/x
  3. Step 3: Cross multiply
    421.08x = 627.90 × 417.42
  4. Step 4: Simplify right side
    421.08x = 262,098.02
  5. Step 5: Solve for x
    x = 262,098.02/421.08
  6. Step 6: Final answer
    x = 622.44

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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.