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Finding the Fourth Proportional to 1,452.96, 2,179.80 and 479.04

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Solution

The fourth proportional to 1,452.96, 2,179.80 and 479.04 is: 718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.96 : 2,179.80 = 479.04 : x
  2. Step 2: Convert to fraction form
    1,452.96/2,179.80 = 479.04/x
  3. Step 3: Cross multiply
    1,452.96x = 2,179.80 × 479.04
  4. Step 4: Simplify right side
    1,452.96x = 1,044,211.39
  5. Step 5: Solve for x
    x = 1,044,211.39/1,452.96
  6. Step 6: Final answer
    x = 718.68

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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.