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Finding the Fourth Proportional to 1,688.40, 2,530.62 and 762.88

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Solution

The fourth proportional to 1,688.40, 2,530.62 and 762.88 is: 1,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.40 : 2,530.62 = 762.88 : x
  2. Step 2: Convert to fraction form
    1,688.40/2,530.62 = 762.88/x
  3. Step 3: Cross multiply
    1,688.40x = 2,530.62 × 762.88
  4. Step 4: Simplify right side
    1,688.40x = 1,930,559.39
  5. Step 5: Solve for x
    x = 1,930,559.39/1,688.40
  6. Step 6: Final answer
    x = 1,143.43

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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.