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Finding the Fourth Proportional to 488.92, 733.56 and 257.80

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Solution

The fourth proportional to 488.92, 733.56 and 257.80 is: 386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.92 : 733.56 = 257.80 : x
  2. Step 2: Convert to fraction form
    488.92/733.56 = 257.80/x
  3. Step 3: Cross multiply
    488.92x = 733.56 × 257.80
  4. Step 4: Simplify right side
    488.92x = 189,111.77
  5. Step 5: Solve for x
    x = 189,111.77/488.92
  6. Step 6: Final answer
    x = 386.79

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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.