Home / 1,207.74-1,811.70-514.20

Finding the Fourth Proportional to 1,207.74, 1,811.70 and 514.20

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Solution

The fourth proportional to 1,207.74, 1,811.70 and 514.20 is: 771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.74 : 1,811.70 = 514.20 : x
  2. Step 2: Convert to fraction form
    1,207.74/1,811.70 = 514.20/x
  3. Step 3: Cross multiply
    1,207.74x = 1,811.70 × 514.20
  4. Step 4: Simplify right side
    1,207.74x = 931,576.14
  5. Step 5: Solve for x
    x = 931,576.14/1,207.74
  6. Step 6: Final answer
    x = 771.34

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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.