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Finding the Fourth Proportional to 1,475, 2,035.49 and 811.81

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Solution

The fourth proportional to 1,475, 2,035.49 and 811.81 is: 1,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475 : 2,035.49 = 811.81 : x
  2. Step 2: Convert to fraction form
    1,475/2,035.49 = 811.81/x
  3. Step 3: Cross multiply
    1,475x = 2,035.49 × 811.81
  4. Step 4: Simplify right side
    1,475x = 1,652,431.14
  5. Step 5: Solve for x
    x = 1,652,431.14/1,475
  6. Step 6: Final answer
    x = 1,120.29

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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.