Home / 1,008.20-1,511.85-460.55

Finding the Fourth Proportional to 1,008.20, 1,511.85 and 460.55

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Solution

The fourth proportional to 1,008.20, 1,511.85 and 460.55 is: 690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.20 : 1,511.85 = 460.55 : x
  2. Step 2: Convert to fraction form
    1,008.20/1,511.85 = 460.55/x
  3. Step 3: Cross multiply
    1,008.20x = 1,511.85 × 460.55
  4. Step 4: Simplify right side
    1,008.20x = 696,282.52
  5. Step 5: Solve for x
    x = 696,282.52/1,008.20
  6. Step 6: Final answer
    x = 690.62

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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.