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Finding the Fourth Proportional to 498.92, 751.28 and 369.83

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Solution

The fourth proportional to 498.92, 751.28 and 369.83 is: 556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.92 : 751.28 = 369.83 : x
  2. Step 2: Convert to fraction form
    498.92/751.28 = 369.83/x
  3. Step 3: Cross multiply
    498.92x = 751.28 × 369.83
  4. Step 4: Simplify right side
    498.92x = 277,845.91
  5. Step 5: Solve for x
    x = 277,845.91/498.92
  6. Step 6: Final answer
    x = 556.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.