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Finding the Fourth Proportional to 1,633.35, 2,450.03 and 479.10

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Solution

The fourth proportional to 1,633.35, 2,450.03 and 479.10 is: 718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.35 : 2,450.03 = 479.10 : x
  2. Step 2: Convert to fraction form
    1,633.35/2,450.03 = 479.10/x
  3. Step 3: Cross multiply
    1,633.35x = 2,450.03 × 479.10
  4. Step 4: Simplify right side
    1,633.35x = 1,173,806.98
  5. Step 5: Solve for x
    x = 1,173,806.98/1,633.35
  6. Step 6: Final answer
    x = 718.65

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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.