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Finding the Fourth Proportional to 473.76, 711.09 and 257.49

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Solution

The fourth proportional to 473.76, 711.09 and 257.49 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 711.09 = 257.49 : x
  2. Step 2: Convert to fraction form
    473.76/711.09 = 257.49/x
  3. Step 3: Cross multiply
    473.76x = 711.09 × 257.49
  4. Step 4: Simplify right side
    473.76x = 183,098.56
  5. Step 5: Solve for x
    x = 183,098.56/473.76
  6. Step 6: Final answer
    x = 386.48

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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.