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Finding the Fourth Proportional to 1,355.87, 2,033.64 and 477.96

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Solution

The fourth proportional to 1,355.87, 2,033.64 and 477.96 is: 716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.87 : 2,033.64 = 477.96 : x
  2. Step 2: Convert to fraction form
    1,355.87/2,033.64 = 477.96/x
  3. Step 3: Cross multiply
    1,355.87x = 2,033.64 × 477.96
  4. Step 4: Simplify right side
    1,355.87x = 971,998.57
  5. Step 5: Solve for x
    x = 971,998.57/1,355.87
  6. Step 6: Final answer
    x = 716.88

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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.