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Finding the Fourth Proportional to 490.74, 732.32 and 436.20

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Solution

The fourth proportional to 490.74, 732.32 and 436.20 is: 650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.74 : 732.32 = 436.20 : x
  2. Step 2: Convert to fraction form
    490.74/732.32 = 436.20/x
  3. Step 3: Cross multiply
    490.74x = 732.32 × 436.20
  4. Step 4: Simplify right side
    490.74x = 319,435.80
  5. Step 5: Solve for x
    x = 319,435.80/490.74
  6. Step 6: Final answer
    x = 650.93

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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.