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Finding the Fourth Proportional to 720.30, 993.99 and 441

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Solution

The fourth proportional to 720.30, 993.99 and 441 is: 608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.30 : 993.99 = 441 : x
  2. Step 2: Convert to fraction form
    720.30/993.99 = 441/x
  3. Step 3: Cross multiply
    720.30x = 993.99 × 441
  4. Step 4: Simplify right side
    720.30x = 438,349.59
  5. Step 5: Solve for x
    x = 438,349.59/720.30
  6. Step 6: Final answer
    x = 608.57

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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.