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Finding the Fourth Proportional to 1,480.09, 2,220.18 and 384.43

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Solution

The fourth proportional to 1,480.09, 2,220.18 and 384.43 is: 576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.09 : 2,220.18 = 384.43 : x
  2. Step 2: Convert to fraction form
    1,480.09/2,220.18 = 384.43/x
  3. Step 3: Cross multiply
    1,480.09x = 2,220.18 × 384.43
  4. Step 4: Simplify right side
    1,480.09x = 853,501.88
  5. Step 5: Solve for x
    x = 853,501.88/1,480.09
  6. Step 6: Final answer
    x = 576.66

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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.