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Finding the Fourth Proportional to 495.69, 739.74 and 441

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Solution

The fourth proportional to 495.69, 739.74 and 441 is: 658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.69 : 739.74 = 441 : x
  2. Step 2: Convert to fraction form
    495.69/739.74 = 441/x
  3. Step 3: Cross multiply
    495.69x = 739.74 × 441
  4. Step 4: Simplify right side
    495.69x = 326,225.34
  5. Step 5: Solve for x
    x = 326,225.34/495.69
  6. Step 6: Final answer
    x = 658.12

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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.