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Finding the Fourth Proportional to 498.81, 744.09 and 483.87

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Solution

The fourth proportional to 498.81, 744.09 and 483.87 is: 721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.81 : 744.09 = 483.87 : x
  2. Step 2: Convert to fraction form
    498.81/744.09 = 483.87/x
  3. Step 3: Cross multiply
    498.81x = 744.09 × 483.87
  4. Step 4: Simplify right side
    498.81x = 360,043.80
  5. Step 5: Solve for x
    x = 360,043.80/498.81
  6. Step 6: Final answer
    x = 721.81

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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.