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Finding the Fourth Proportional to 496.52, 740.89 and 450.44

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Solution

The fourth proportional to 496.52, 740.89 and 450.44 is: 672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.52 : 740.89 = 450.44 : x
  2. Step 2: Convert to fraction form
    496.52/740.89 = 450.44/x
  3. Step 3: Cross multiply
    496.52x = 740.89 × 450.44
  4. Step 4: Simplify right side
    496.52x = 333,726.49
  5. Step 5: Solve for x
    x = 333,726.49/496.52
  6. Step 6: Final answer
    x = 672.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.