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Finding the Fourth Proportional to 476.38, 655.41 and 420.11

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Solution

The fourth proportional to 476.38, 655.41 and 420.11 is: 577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.38 : 655.41 = 420.11 : x
  2. Step 2: Convert to fraction form
    476.38/655.41 = 420.11/x
  3. Step 3: Cross multiply
    476.38x = 655.41 × 420.11
  4. Step 4: Simplify right side
    476.38x = 275,341.02
  5. Step 5: Solve for x
    x = 275,341.02/476.38
  6. Step 6: Final answer
    x = 577.99

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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.