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Finding the Fourth Proportional to 657.21, 906.99 and 421.37

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Solution

The fourth proportional to 657.21, 906.99 and 421.37 is: 581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.21 : 906.99 = 421.37 : x
  2. Step 2: Convert to fraction form
    657.21/906.99 = 421.37/x
  3. Step 3: Cross multiply
    657.21x = 906.99 × 421.37
  4. Step 4: Simplify right side
    657.21x = 382,173.84
  5. Step 5: Solve for x
    x = 382,173.84/657.21
  6. Step 6: Final answer
    x = 581.51

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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.