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Finding the Fourth Proportional to 1,402.89, 2,104.46 and 479.09

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Solution

The fourth proportional to 1,402.89, 2,104.46 and 479.09 is: 718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.89 : 2,104.46 = 479.09 : x
  2. Step 2: Convert to fraction form
    1,402.89/2,104.46 = 479.09/x
  3. Step 3: Cross multiply
    1,402.89x = 2,104.46 × 479.09
  4. Step 4: Simplify right side
    1,402.89x = 1,008,212.82
  5. Step 5: Solve for x
    x = 1,008,212.82/1,402.89
  6. Step 6: Final answer
    x = 718.67

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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.