Home / 1,282.25-1,923.35-357.86

Finding the Fourth Proportional to 1,282.25, 1,923.35 and 357.86

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Solution

The fourth proportional to 1,282.25, 1,923.35 and 357.86 is: 536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.25 : 1,923.35 = 357.86 : x
  2. Step 2: Convert to fraction form
    1,282.25/1,923.35 = 357.86/x
  3. Step 3: Cross multiply
    1,282.25x = 1,923.35 × 357.86
  4. Step 4: Simplify right side
    1,282.25x = 688,278.62
  5. Step 5: Solve for x
    x = 688,278.62/1,282.25
  6. Step 6: Final answer
    x = 536.78

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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.