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Finding the Fourth Proportional to 499.84, 745.49 and 473.92

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Solution

The fourth proportional to 499.84, 745.49 and 473.92 is: 706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.84 : 745.49 = 473.92 : x
  2. Step 2: Convert to fraction form
    499.84/745.49 = 473.92/x
  3. Step 3: Cross multiply
    499.84x = 745.49 × 473.92
  4. Step 4: Simplify right side
    499.84x = 353,302.62
  5. Step 5: Solve for x
    x = 353,302.62/499.84
  6. Step 6: Final answer
    x = 706.83

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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.