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Finding the Fourth Proportional to 451.07, 673.19 and 421.00

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Solution

The fourth proportional to 451.07, 673.19 and 421.00 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.07 : 673.19 = 421.00 : x
  2. Step 2: Convert to fraction form
    451.07/673.19 = 421.00/x
  3. Step 3: Cross multiply
    451.07x = 673.19 × 421.00
  4. Step 4: Simplify right side
    451.07x = 283,409.60
  5. Step 5: Solve for x
    x = 283,409.60/451.07
  6. Step 6: Final answer
    x = 628.31

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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.