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Finding the Fourth Proportional to 498.42, 744.07 and 494.98

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Solution

The fourth proportional to 498.42, 744.07 and 494.98 is: 738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 744.07 = 494.98 : x
  2. Step 2: Convert to fraction form
    498.42/744.07 = 494.98/x
  3. Step 3: Cross multiply
    498.42x = 744.07 × 494.98
  4. Step 4: Simplify right side
    498.42x = 368,297.60
  5. Step 5: Solve for x
    x = 368,297.60/498.42
  6. Step 6: Final answer
    x = 738.93

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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.