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Finding the Fourth Proportional to 495.93, 744.54 and 404.82

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Solution

The fourth proportional to 495.93, 744.54 and 404.82 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.93 : 744.54 = 404.82 : x
  2. Step 2: Convert to fraction form
    495.93/744.54 = 404.82/x
  3. Step 3: Cross multiply
    495.93x = 744.54 × 404.82
  4. Step 4: Simplify right side
    495.93x = 301,404.68
  5. Step 5: Solve for x
    x = 301,404.68/495.93
  6. Step 6: Final answer
    x = 607.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.