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Finding the Fourth Proportional to 491.83, 733.60 and 457.81

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Solution

The fourth proportional to 491.83, 733.60 and 457.81 is: 682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.83 : 733.60 = 457.81 : x
  2. Step 2: Convert to fraction form
    491.83/733.60 = 457.81/x
  3. Step 3: Cross multiply
    491.83x = 733.60 × 457.81
  4. Step 4: Simplify right side
    491.83x = 335,843.46
  5. Step 5: Solve for x
    x = 335,843.46/491.83
  6. Step 6: Final answer
    x = 682.85

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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.