Home / 1,282.85-1,924.20-417.09

Finding the Fourth Proportional to 1,282.85, 1,924.20 and 417.09

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Solution

The fourth proportional to 1,282.85, 1,924.20 and 417.09 is: 625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.85 : 1,924.20 = 417.09 : x
  2. Step 2: Convert to fraction form
    1,282.85/1,924.20 = 417.09/x
  3. Step 3: Cross multiply
    1,282.85x = 1,924.20 × 417.09
  4. Step 4: Simplify right side
    1,282.85x = 802,564.58
  5. Step 5: Solve for x
    x = 802,564.58/1,282.85
  6. Step 6: Final answer
    x = 625.61

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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.