Home / 1,473.32-2,207.28-822.08

Finding the Fourth Proportional to 1,473.32, 2,207.28 and 822.08

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Solution

The fourth proportional to 1,473.32, 2,207.28 and 822.08 is: 1,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.32 : 2,207.28 = 822.08 : x
  2. Step 2: Convert to fraction form
    1,473.32/2,207.28 = 822.08/x
  3. Step 3: Cross multiply
    1,473.32x = 2,207.28 × 822.08
  4. Step 4: Simplify right side
    1,473.32x = 1,814,560.74
  5. Step 5: Solve for x
    x = 1,814,560.74/1,473.32
  6. Step 6: Final answer
    x = 1,231.61

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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.