Home / 1,284.62-1,926.86-462.80

Finding the Fourth Proportional to 1,284.62, 1,926.86 and 462.80

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Solution

The fourth proportional to 1,284.62, 1,926.86 and 462.80 is: 694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.62 : 1,926.86 = 462.80 : x
  2. Step 2: Convert to fraction form
    1,284.62/1,926.86 = 462.80/x
  3. Step 3: Cross multiply
    1,284.62x = 1,926.86 × 462.80
  4. Step 4: Simplify right side
    1,284.62x = 891,748.49
  5. Step 5: Solve for x
    x = 891,748.49/1,284.62
  6. Step 6: Final answer
    x = 694.17

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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.