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Finding the Fourth Proportional to 491.08, 739.90 and 444.23

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Solution

The fourth proportional to 491.08, 739.90 and 444.23 is: 669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.08 : 739.90 = 444.23 : x
  2. Step 2: Convert to fraction form
    491.08/739.90 = 444.23/x
  3. Step 3: Cross multiply
    491.08x = 739.90 × 444.23
  4. Step 4: Simplify right side
    491.08x = 328,684.57
  5. Step 5: Solve for x
    x = 328,684.57/491.08
  6. Step 6: Final answer
    x = 669.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.