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Finding the Fourth Proportional to 476.06, 657.17 and 289.61

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Solution

The fourth proportional to 476.06, 657.17 and 289.61 is: 399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.06 : 657.17 = 289.61 : x
  2. Step 2: Convert to fraction form
    476.06/657.17 = 289.61/x
  3. Step 3: Cross multiply
    476.06x = 657.17 × 289.61
  4. Step 4: Simplify right side
    476.06x = 190,321.56
  5. Step 5: Solve for x
    x = 190,321.56/476.06
  6. Step 6: Final answer
    x = 399.78

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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.