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Finding the Fourth Proportional to 488.76, 673.56 and 378

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Solution

The fourth proportional to 488.76, 673.56 and 378 is: 520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.76 : 673.56 = 378 : x
  2. Step 2: Convert to fraction form
    488.76/673.56 = 378/x
  3. Step 3: Cross multiply
    488.76x = 673.56 × 378
  4. Step 4: Simplify right side
    488.76x = 254,605.68
  5. Step 5: Solve for x
    x = 254,605.68/488.76
  6. Step 6: Final answer
    x = 520.92

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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.