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Finding the Fourth Proportional to 1,455.88, 2,184.03 and 481.77

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Solution

The fourth proportional to 1,455.88, 2,184.03 and 481.77 is: 722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.88 : 2,184.03 = 481.77 : x
  2. Step 2: Convert to fraction form
    1,455.88/2,184.03 = 481.77/x
  3. Step 3: Cross multiply
    1,455.88x = 2,184.03 × 481.77
  4. Step 4: Simplify right side
    1,455.88x = 1,052,189.21
  5. Step 5: Solve for x
    x = 1,052,189.21/1,455.88
  6. Step 6: Final answer
    x = 722.72

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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.