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Finding the Fourth Proportional to 497.25, 745.86 and 482.21

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Solution

The fourth proportional to 497.25, 745.86 and 482.21 is: 723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.25 : 745.86 = 482.21 : x
  2. Step 2: Convert to fraction form
    497.25/745.86 = 482.21/x
  3. Step 3: Cross multiply
    497.25x = 745.86 × 482.21
  4. Step 4: Simplify right side
    497.25x = 359,661.15
  5. Step 5: Solve for x
    x = 359,661.15/497.25
  6. Step 6: Final answer
    x = 723.30

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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.