Home / 1,282.23-1,924.17-820.35

Finding the Fourth Proportional to 1,282.23, 1,924.17 and 820.35

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Solution

The fourth proportional to 1,282.23, 1,924.17 and 820.35 is: 1,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.23 : 1,924.17 = 820.35 : x
  2. Step 2: Convert to fraction form
    1,282.23/1,924.17 = 820.35/x
  3. Step 3: Cross multiply
    1,282.23x = 1,924.17 × 820.35
  4. Step 4: Simplify right side
    1,282.23x = 1,578,492.86
  5. Step 5: Solve for x
    x = 1,578,492.86/1,282.23
  6. Step 6: Final answer
    x = 1,231.05

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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.