Home / 1,282.03-1,922.45-460.08

Finding the Fourth Proportional to 1,282.03, 1,922.45 and 460.08

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Solution

The fourth proportional to 1,282.03, 1,922.45 and 460.08 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.03 : 1,922.45 = 460.08 : x
  2. Step 2: Convert to fraction form
    1,282.03/1,922.45 = 460.08/x
  3. Step 3: Cross multiply
    1,282.03x = 1,922.45 × 460.08
  4. Step 4: Simplify right side
    1,282.03x = 884,478.50
  5. Step 5: Solve for x
    x = 884,478.50/1,282.03
  6. Step 6: Final answer
    x = 689.91

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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.