Home / 1,165.28-1,748.48-516.20

Finding the Fourth Proportional to 1,165.28, 1,748.48 and 516.20

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Solution

The fourth proportional to 1,165.28, 1,748.48 and 516.20 is: 774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.28 : 1,748.48 = 516.20 : x
  2. Step 2: Convert to fraction form
    1,165.28/1,748.48 = 516.20/x
  3. Step 3: Cross multiply
    1,165.28x = 1,748.48 × 516.20
  4. Step 4: Simplify right side
    1,165.28x = 902,565.38
  5. Step 5: Solve for x
    x = 902,565.38/1,165.28
  6. Step 6: Final answer
    x = 774.55

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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.