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Finding the Fourth Proportional to 780.24, 1,169.44 and 368.84

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Solution

The fourth proportional to 780.24, 1,169.44 and 368.84 is: 552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,169.44 = 368.84 : x
  2. Step 2: Convert to fraction form
    780.24/1,169.44 = 368.84/x
  3. Step 3: Cross multiply
    780.24x = 1,169.44 × 368.84
  4. Step 4: Simplify right side
    780.24x = 431,336.25
  5. Step 5: Solve for x
    x = 431,336.25/780.24
  6. Step 6: Final answer
    x = 552.83

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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.