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Finding the Fourth Proportional to 488.53, 673.42 and 364

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Solution

The fourth proportional to 488.53, 673.42 and 364 is: 501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 673.42 = 364 : x
  2. Step 2: Convert to fraction form
    488.53/673.42 = 364/x
  3. Step 3: Cross multiply
    488.53x = 673.42 × 364
  4. Step 4: Simplify right side
    488.53x = 245,123.06
  5. Step 5: Solve for x
    x = 245,123.06/488.53
  6. Step 6: Final answer
    x = 501.76

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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.