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Finding the Fourth Proportional to 488.99, 674.39 and 364.95

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Solution

The fourth proportional to 488.99, 674.39 and 364.95 is: 503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.99 : 674.39 = 364.95 : x
  2. Step 2: Convert to fraction form
    488.99/674.39 = 364.95/x
  3. Step 3: Cross multiply
    488.99x = 674.39 × 364.95
  4. Step 4: Simplify right side
    488.99x = 246,118.63
  5. Step 5: Solve for x
    x = 246,118.63/488.99
  6. Step 6: Final answer
    x = 503.32

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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.