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Finding the Fourth Proportional to 477.03, 655.64 and 421.43

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Solution

The fourth proportional to 477.03, 655.64 and 421.43 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.03 : 655.64 = 421.43 : x
  2. Step 2: Convert to fraction form
    477.03/655.64 = 421.43/x
  3. Step 3: Cross multiply
    477.03x = 655.64 × 421.43
  4. Step 4: Simplify right side
    477.03x = 276,305.90
  5. Step 5: Solve for x
    x = 276,305.90/477.03
  6. Step 6: Final answer
    x = 579.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.