Home / 1,231.20-1,847.28-461.76

Finding the Fourth Proportional to 1,231.20, 1,847.28 and 461.76

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Solution

The fourth proportional to 1,231.20, 1,847.28 and 461.76 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.20 : 1,847.28 = 461.76 : x
  2. Step 2: Convert to fraction form
    1,231.20/1,847.28 = 461.76/x
  3. Step 3: Cross multiply
    1,231.20x = 1,847.28 × 461.76
  4. Step 4: Simplify right side
    1,231.20x = 853,000.01
  5. Step 5: Solve for x
    x = 853,000.01/1,231.20
  6. Step 6: Final answer
    x = 692.82

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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.