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Finding the Fourth Proportional to 477.34, 655.22 and 423.72

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Solution

The fourth proportional to 477.34, 655.22 and 423.72 is: 581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.34 : 655.22 = 423.72 : x
  2. Step 2: Convert to fraction form
    477.34/655.22 = 423.72/x
  3. Step 3: Cross multiply
    477.34x = 655.22 × 423.72
  4. Step 4: Simplify right side
    477.34x = 277,629.82
  5. Step 5: Solve for x
    x = 277,629.82/477.34
  6. Step 6: Final answer
    x = 581.62

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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.