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Finding the Fourth Proportional to 476.01, 713.25 and 353.66

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Solution

The fourth proportional to 476.01, 713.25 and 353.66 is: 529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.01 : 713.25 = 353.66 : x
  2. Step 2: Convert to fraction form
    476.01/713.25 = 353.66/x
  3. Step 3: Cross multiply
    476.01x = 713.25 × 353.66
  4. Step 4: Simplify right side
    476.01x = 252,244.43
  5. Step 5: Solve for x
    x = 252,244.43/476.01
  6. Step 6: Final answer
    x = 529.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.