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Finding the Fourth Proportional to 488.57, 674.73 and 349.45

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Solution

The fourth proportional to 488.57, 674.73 and 349.45 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.57 : 674.73 = 349.45 : x
  2. Step 2: Convert to fraction form
    488.57/674.73 = 349.45/x
  3. Step 3: Cross multiply
    488.57x = 674.73 × 349.45
  4. Step 4: Simplify right side
    488.57x = 235,782.71
  5. Step 5: Solve for x
    x = 235,782.71/488.57
  6. Step 6: Final answer
    x = 482.60

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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.