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Finding the Fourth Proportional to 780.04, 1,169.78 and 259.95

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Solution

The fourth proportional to 780.04, 1,169.78 and 259.95 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.04 : 1,169.78 = 259.95 : x
  2. Step 2: Convert to fraction form
    780.04/1,169.78 = 259.95/x
  3. Step 3: Cross multiply
    780.04x = 1,169.78 × 259.95
  4. Step 4: Simplify right side
    780.04x = 304,084.31
  5. Step 5: Solve for x
    x = 304,084.31/780.04
  6. Step 6: Final answer
    x = 389.83

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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.