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Finding the Fourth Proportional to 490.86, 732.78 and 473.76

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Solution

The fourth proportional to 490.86, 732.78 and 473.76 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 732.78 = 473.76 : x
  2. Step 2: Convert to fraction form
    490.86/732.78 = 473.76/x
  3. Step 3: Cross multiply
    490.86x = 732.78 × 473.76
  4. Step 4: Simplify right side
    490.86x = 347,161.85
  5. Step 5: Solve for x
    x = 347,161.85/490.86
  6. Step 6: Final answer
    x = 707.25

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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.