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Finding the Fourth Proportional to 421.59, 628.27 and 417.49

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Solution

The fourth proportional to 421.59, 628.27 and 417.49 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.59 : 628.27 = 417.49 : x
  2. Step 2: Convert to fraction form
    421.59/628.27 = 417.49/x
  3. Step 3: Cross multiply
    421.59x = 628.27 × 417.49
  4. Step 4: Simplify right side
    421.59x = 262,293.83
  5. Step 5: Solve for x
    x = 262,293.83/421.59
  6. Step 6: Final answer
    x = 622.15

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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.