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Finding the Fourth Proportional to 1,955.31, 2,933.28 and 785.31

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Solution

The fourth proportional to 1,955.31, 2,933.28 and 785.31 is: 1,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.31 : 2,933.28 = 785.31 : x
  2. Step 2: Convert to fraction form
    1,955.31/2,933.28 = 785.31/x
  3. Step 3: Cross multiply
    1,955.31x = 2,933.28 × 785.31
  4. Step 4: Simplify right side
    1,955.31x = 2,303,534.12
  5. Step 5: Solve for x
    x = 2,303,534.12/1,955.31
  6. Step 6: Final answer
    x = 1,178.09

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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.