Home / 1,091.28-1,636.38-514.20

Finding the Fourth Proportional to 1,091.28, 1,636.38 and 514.20

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Solution

The fourth proportional to 1,091.28, 1,636.38 and 514.20 is: 771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.28 : 1,636.38 = 514.20 : x
  2. Step 2: Convert to fraction form
    1,091.28/1,636.38 = 514.20/x
  3. Step 3: Cross multiply
    1,091.28x = 1,636.38 × 514.20
  4. Step 4: Simplify right side
    1,091.28x = 841,426.60
  5. Step 5: Solve for x
    x = 841,426.60/1,091.28
  6. Step 6: Final answer
    x = 771.05

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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.