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Finding the Fourth Proportional to 1,184.23, 1,775.50 and 453.19

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Solution

The fourth proportional to 1,184.23, 1,775.50 and 453.19 is: 679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.23 : 1,775.50 = 453.19 : x
  2. Step 2: Convert to fraction form
    1,184.23/1,775.50 = 453.19/x
  3. Step 3: Cross multiply
    1,184.23x = 1,775.50 × 453.19
  4. Step 4: Simplify right side
    1,184.23x = 804,638.85
  5. Step 5: Solve for x
    x = 804,638.85/1,184.23
  6. Step 6: Final answer
    x = 679.46

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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.