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Finding the Fourth Proportional to 1,290.84, 1,933.25 and 943.31

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Solution

The fourth proportional to 1,290.84, 1,933.25 and 943.31 is: 1,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.84 : 1,933.25 = 943.31 : x
  2. Step 2: Convert to fraction form
    1,290.84/1,933.25 = 943.31/x
  3. Step 3: Cross multiply
    1,290.84x = 1,933.25 × 943.31
  4. Step 4: Simplify right side
    1,290.84x = 1,823,639.67
  5. Step 5: Solve for x
    x = 1,823,639.67/1,290.84
  6. Step 6: Final answer
    x = 1,412.75

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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.