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Finding the Fourth Proportional to 1,633.50, 2,450.28 and 479.28

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Solution

The fourth proportional to 1,633.50, 2,450.28 and 479.28 is: 718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.50 : 2,450.28 = 479.28 : x
  2. Step 2: Convert to fraction form
    1,633.50/2,450.28 = 479.28/x
  3. Step 3: Cross multiply
    1,633.50x = 2,450.28 × 479.28
  4. Step 4: Simplify right side
    1,633.50x = 1,174,370.20
  5. Step 5: Solve for x
    x = 1,174,370.20/1,633.50
  6. Step 6: Final answer
    x = 718.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.