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Finding the Fourth Proportional to 1,453.73, 2,178.05 and 990

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Solution

The fourth proportional to 1,453.73, 2,178.05 and 990 is: 1,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.73 : 2,178.05 = 990 : x
  2. Step 2: Convert to fraction form
    1,453.73/2,178.05 = 990/x
  3. Step 3: Cross multiply
    1,453.73x = 2,178.05 × 990
  4. Step 4: Simplify right side
    1,453.73x = 2,156,264.55
  5. Step 5: Solve for x
    x = 2,156,264.55/1,453.73
  6. Step 6: Final answer
    x = 1,483.27

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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.