Home / 1,688.25-2,533.14-764.04

Finding the Fourth Proportional to 1,688.25, 2,533.14 and 764.04

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Solution

The fourth proportional to 1,688.25, 2,533.14 and 764.04 is: 1,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.25 : 2,533.14 = 764.04 : x
  2. Step 2: Convert to fraction form
    1,688.25/2,533.14 = 764.04/x
  3. Step 3: Cross multiply
    1,688.25x = 2,533.14 × 764.04
  4. Step 4: Simplify right side
    1,688.25x = 1,935,420.29
  5. Step 5: Solve for x
    x = 1,935,420.29/1,688.25
  6. Step 6: Final answer
    x = 1,146.41

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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.