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Finding the Fourth Proportional to 499.57, 745.58 and 486.61

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Solution

The fourth proportional to 499.57, 745.58 and 486.61 is: 726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.57 : 745.58 = 486.61 : x
  2. Step 2: Convert to fraction form
    499.57/745.58 = 486.61/x
  3. Step 3: Cross multiply
    499.57x = 745.58 × 486.61
  4. Step 4: Simplify right side
    499.57x = 362,806.68
  5. Step 5: Solve for x
    x = 362,806.68/499.57
  6. Step 6: Final answer
    x = 726.24

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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.