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Finding the Fourth Proportional to 1,478.35, 2,215.55 and 748.44

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Solution

The fourth proportional to 1,478.35, 2,215.55 and 748.44 is: 1,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.35 : 2,215.55 = 748.44 : x
  2. Step 2: Convert to fraction form
    1,478.35/2,215.55 = 748.44/x
  3. Step 3: Cross multiply
    1,478.35x = 2,215.55 × 748.44
  4. Step 4: Simplify right side
    1,478.35x = 1,658,208.11
  5. Step 5: Solve for x
    x = 1,658,208.11/1,478.35
  6. Step 6: Final answer
    x = 1,121.66

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