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Finding the Fourth Proportional to 780.24, 1,169.64 and 414.48

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Solution

The fourth proportional to 780.24, 1,169.64 and 414.48 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,169.64 = 414.48 : x
  2. Step 2: Convert to fraction form
    780.24/1,169.64 = 414.48/x
  3. Step 3: Cross multiply
    780.24x = 1,169.64 × 414.48
  4. Step 4: Simplify right side
    780.24x = 484,792.39
  5. Step 5: Solve for x
    x = 484,792.39/780.24
  6. Step 6: Final answer
    x = 621.34

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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.