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Finding the Fourth Proportional to 476.26, 713.84 and 259.46

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Solution

The fourth proportional to 476.26, 713.84 and 259.46 is: 388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.26 : 713.84 = 259.46 : x
  2. Step 2: Convert to fraction form
    476.26/713.84 = 259.46/x
  3. Step 3: Cross multiply
    476.26x = 713.84 × 259.46
  4. Step 4: Simplify right side
    476.26x = 185,212.93
  5. Step 5: Solve for x
    x = 185,212.93/476.26
  6. Step 6: Final answer
    x = 388.89

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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.