Home / 1,282.95-1,924.20-405.27

Finding the Fourth Proportional to 1,282.95, 1,924.20 and 405.27

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Solution

The fourth proportional to 1,282.95, 1,924.20 and 405.27 is: 607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.95 : 1,924.20 = 405.27 : x
  2. Step 2: Convert to fraction form
    1,282.95/1,924.20 = 405.27/x
  3. Step 3: Cross multiply
    1,282.95x = 1,924.20 × 405.27
  4. Step 4: Simplify right side
    1,282.95x = 779,820.53
  5. Step 5: Solve for x
    x = 779,820.53/1,282.95
  6. Step 6: Final answer
    x = 607.83

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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.