Home / 1,282.91-1,924.22-405.20

Finding the Fourth Proportional to 1,282.91, 1,924.22 and 405.20

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Solution

The fourth proportional to 1,282.91, 1,924.22 and 405.20 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.91 : 1,924.22 = 405.20 : x
  2. Step 2: Convert to fraction form
    1,282.91/1,924.22 = 405.20/x
  3. Step 3: Cross multiply
    1,282.91x = 1,924.22 × 405.20
  4. Step 4: Simplify right side
    1,282.91x = 779,699.77
  5. Step 5: Solve for x
    x = 779,699.77/1,282.91
  6. Step 6: Final answer
    x = 607.76

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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.