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Finding the Fourth Proportional to 1,453.50, 2,006.07 and 832.38

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Solution

The fourth proportional to 1,453.50, 2,006.07 and 832.38 is: 1,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.50 : 2,006.07 = 832.38 : x
  2. Step 2: Convert to fraction form
    1,453.50/2,006.07 = 832.38/x
  3. Step 3: Cross multiply
    1,453.50x = 2,006.07 × 832.38
  4. Step 4: Simplify right side
    1,453.50x = 1,669,812.55
  5. Step 5: Solve for x
    x = 1,669,812.55/1,453.50
  6. Step 6: Final answer
    x = 1,148.82

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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.