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Finding the Fourth Proportional to 1,433.75, 1,977.53 and 935.87

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Solution

The fourth proportional to 1,433.75, 1,977.53 and 935.87 is: 1,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.75 : 1,977.53 = 935.87 : x
  2. Step 2: Convert to fraction form
    1,433.75/1,977.53 = 935.87/x
  3. Step 3: Cross multiply
    1,433.75x = 1,977.53 × 935.87
  4. Step 4: Simplify right side
    1,433.75x = 1,850,696.43
  5. Step 5: Solve for x
    x = 1,850,696.43/1,433.75
  6. Step 6: Final answer
    x = 1,290.81

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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.