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Finding the Fourth Proportional to 1,268.29, 1,900.35 and 780.31

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Solution

The fourth proportional to 1,268.29, 1,900.35 and 780.31 is: 1,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.29 : 1,900.35 = 780.31 : x
  2. Step 2: Convert to fraction form
    1,268.29/1,900.35 = 780.31/x
  3. Step 3: Cross multiply
    1,268.29x = 1,900.35 × 780.31
  4. Step 4: Simplify right side
    1,268.29x = 1,482,862.11
  5. Step 5: Solve for x
    x = 1,482,862.11/1,268.29
  6. Step 6: Final answer
    x = 1,169.18

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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.