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Finding the Fourth Proportional to 491.67, 734.09 and 486.73

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Solution

The fourth proportional to 491.67, 734.09 and 486.73 is: 726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 734.09 = 486.73 : x
  2. Step 2: Convert to fraction form
    491.67/734.09 = 486.73/x
  3. Step 3: Cross multiply
    491.67x = 734.09 × 486.73
  4. Step 4: Simplify right side
    491.67x = 357,303.22
  5. Step 5: Solve for x
    x = 357,303.22/491.67
  6. Step 6: Final answer
    x = 726.72

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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.