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Finding the Fourth Proportional to 476.82, 653.23 and 459.05

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Solution

The fourth proportional to 476.82, 653.23 and 459.05 is: 628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.82 : 653.23 = 459.05 : x
  2. Step 2: Convert to fraction form
    476.82/653.23 = 459.05/x
  3. Step 3: Cross multiply
    476.82x = 653.23 × 459.05
  4. Step 4: Simplify right side
    476.82x = 299,862.94
  5. Step 5: Solve for x
    x = 299,862.94/476.82
  6. Step 6: Final answer
    x = 628.88

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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.