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Finding the Fourth Proportional to 1,475.33, 2,035.90 and 812.23

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Solution

The fourth proportional to 1,475.33, 2,035.90 and 812.23 is: 1,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.33 : 2,035.90 = 812.23 : x
  2. Step 2: Convert to fraction form
    1,475.33/2,035.90 = 812.23/x
  3. Step 3: Cross multiply
    1,475.33x = 2,035.90 × 812.23
  4. Step 4: Simplify right side
    1,475.33x = 1,653,614.98
  5. Step 5: Solve for x
    x = 1,653,614.98/1,475.33
  6. Step 6: Final answer
    x = 1,120.85

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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.