Home / 1,284.20-1,924.34-763.17

Finding the Fourth Proportional to 1,284.20, 1,924.34 and 763.17

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Solution

The fourth proportional to 1,284.20, 1,924.34 and 763.17 is: 1,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.20 : 1,924.34 = 763.17 : x
  2. Step 2: Convert to fraction form
    1,284.20/1,924.34 = 763.17/x
  3. Step 3: Cross multiply
    1,284.20x = 1,924.34 × 763.17
  4. Step 4: Simplify right side
    1,284.20x = 1,468,594.74
  5. Step 5: Solve for x
    x = 1,468,594.74/1,284.20
  6. Step 6: Final answer
    x = 1,143.59

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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.