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Finding the Fourth Proportional to 1,685.63, 2,528.03 and 515.31

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Solution

The fourth proportional to 1,685.63, 2,528.03 and 515.31 is: 772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.63 : 2,528.03 = 515.31 : x
  2. Step 2: Convert to fraction form
    1,685.63/2,528.03 = 515.31/x
  3. Step 3: Cross multiply
    1,685.63x = 2,528.03 × 515.31
  4. Step 4: Simplify right side
    1,685.63x = 1,302,716.56
  5. Step 5: Solve for x
    x = 1,302,716.56/1,685.63
  6. Step 6: Final answer
    x = 772.84

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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.