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Finding the Fourth Proportional to 1,145.17, 1,715.36 and 732.21

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Solution

The fourth proportional to 1,145.17, 1,715.36 and 732.21 is: 1,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.17 : 1,715.36 = 732.21 : x
  2. Step 2: Convert to fraction form
    1,145.17/1,715.36 = 732.21/x
  3. Step 3: Cross multiply
    1,145.17x = 1,715.36 × 732.21
  4. Step 4: Simplify right side
    1,145.17x = 1,256,003.75
  5. Step 5: Solve for x
    x = 1,256,003.75/1,145.17
  6. Step 6: Final answer
    x = 1,096.78

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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.