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Finding the Fourth Proportional to 491.67, 733.86 and 483.57

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Solution

The fourth proportional to 491.67, 733.86 and 483.57 is: 721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 733.86 = 483.57 : x
  2. Step 2: Convert to fraction form
    491.67/733.86 = 483.57/x
  3. Step 3: Cross multiply
    491.67x = 733.86 × 483.57
  4. Step 4: Simplify right side
    491.67x = 354,872.68
  5. Step 5: Solve for x
    x = 354,872.68/491.67
  6. Step 6: Final answer
    x = 721.77

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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.