Home / 1,687.14-2,530.74-517.18

Finding the Fourth Proportional to 1,687.14, 2,530.74 and 517.18

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Solution

The fourth proportional to 1,687.14, 2,530.74 and 517.18 is: 775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.14 : 2,530.74 = 517.18 : x
  2. Step 2: Convert to fraction form
    1,687.14/2,530.74 = 517.18/x
  3. Step 3: Cross multiply
    1,687.14x = 2,530.74 × 517.18
  4. Step 4: Simplify right side
    1,687.14x = 1,308,848.11
  5. Step 5: Solve for x
    x = 1,308,848.11/1,687.14
  6. Step 6: Final answer
    x = 775.78

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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.