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Finding the Fourth Proportional to 1,232.28, 1,699.69 and 734.53

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Solution

The fourth proportional to 1,232.28, 1,699.69 and 734.53 is: 1,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.28 : 1,699.69 = 734.53 : x
  2. Step 2: Convert to fraction form
    1,232.28/1,699.69 = 734.53/x
  3. Step 3: Cross multiply
    1,232.28x = 1,699.69 × 734.53
  4. Step 4: Simplify right side
    1,232.28x = 1,248,473.30
  5. Step 5: Solve for x
    x = 1,248,473.30/1,232.28
  6. Step 6: Final answer
    x = 1,013.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.