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Finding the Fourth Proportional to 498.84, 743.99 and 472.92

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Solution

The fourth proportional to 498.84, 743.99 and 472.92 is: 705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 743.99 = 472.92 : x
  2. Step 2: Convert to fraction form
    498.84/743.99 = 472.92/x
  3. Step 3: Cross multiply
    498.84x = 743.99 × 472.92
  4. Step 4: Simplify right side
    498.84x = 351,847.75
  5. Step 5: Solve for x
    x = 351,847.75/498.84
  6. Step 6: Final answer
    x = 705.33

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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.