Home / 1,412.85-2,119.38-547.14

Finding the Fourth Proportional to 1,412.85, 2,119.38 and 547.14

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Solution

The fourth proportional to 1,412.85, 2,119.38 and 547.14 is: 820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.85 : 2,119.38 = 547.14 : x
  2. Step 2: Convert to fraction form
    1,412.85/2,119.38 = 547.14/x
  3. Step 3: Cross multiply
    1,412.85x = 2,119.38 × 547.14
  4. Step 4: Simplify right side
    1,412.85x = 1,159,597.57
  5. Step 5: Solve for x
    x = 1,159,597.57/1,412.85
  6. Step 6: Final answer
    x = 820.75

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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.