Home / 1,282.20-1,922.42-460.06

Finding the Fourth Proportional to 1,282.20, 1,922.42 and 460.06

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Solution

The fourth proportional to 1,282.20, 1,922.42 and 460.06 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.20 : 1,922.42 = 460.06 : x
  2. Step 2: Convert to fraction form
    1,282.20/1,922.42 = 460.06/x
  3. Step 3: Cross multiply
    1,282.20x = 1,922.42 × 460.06
  4. Step 4: Simplify right side
    1,282.20x = 884,428.55
  5. Step 5: Solve for x
    x = 884,428.55/1,282.20
  6. Step 6: Final answer
    x = 689.77

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1.5x scale

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.