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Finding the Fourth Proportional to 1,688.97, 2,533.16 and 764.31

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Solution

The fourth proportional to 1,688.97, 2,533.16 and 764.31 is: 1,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.97 : 2,533.16 = 764.31 : x
  2. Step 2: Convert to fraction form
    1,688.97/2,533.16 = 764.31/x
  3. Step 3: Cross multiply
    1,688.97x = 2,533.16 × 764.31
  4. Step 4: Simplify right side
    1,688.97x = 1,936,119.52
  5. Step 5: Solve for x
    x = 1,936,119.52/1,688.97
  6. Step 6: Final answer
    x = 1,146.33

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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.