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Finding the Fourth Proportional to 1,687.13, 2,530.41 and 516.86

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Solution

The fourth proportional to 1,687.13, 2,530.41 and 516.86 is: 775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.13 : 2,530.41 = 516.86 : x
  2. Step 2: Convert to fraction form
    1,687.13/2,530.41 = 516.86/x
  3. Step 3: Cross multiply
    1,687.13x = 2,530.41 × 516.86
  4. Step 4: Simplify right side
    1,687.13x = 1,307,867.71
  5. Step 5: Solve for x
    x = 1,307,867.71/1,687.13
  6. Step 6: Final answer
    x = 775.20

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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.