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Finding the Fourth Proportional to 488.41, 673.07 and 340.78

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Solution

The fourth proportional to 488.41, 673.07 and 340.78 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.41 : 673.07 = 340.78 : x
  2. Step 2: Convert to fraction form
    488.41/673.07 = 340.78/x
  3. Step 3: Cross multiply
    488.41x = 673.07 × 340.78
  4. Step 4: Simplify right side
    488.41x = 229,368.79
  5. Step 5: Solve for x
    x = 229,368.79/488.41
  6. Step 6: Final answer
    x = 469.62

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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.