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Finding the Fourth Proportional to 1,268.58, 1,900.08 and 780.15

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Solution

The fourth proportional to 1,268.58, 1,900.08 and 780.15 is: 1,168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.58 : 1,900.08 = 780.15 : x
  2. Step 2: Convert to fraction form
    1,268.58/1,900.08 = 780.15/x
  3. Step 3: Cross multiply
    1,268.58x = 1,900.08 × 780.15
  4. Step 4: Simplify right side
    1,268.58x = 1,482,347.41
  5. Step 5: Solve for x
    x = 1,482,347.41/1,268.58
  6. Step 6: Final answer
    x = 1,168.51

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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.