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Finding the Fourth Proportional to 776.43, 1,069.20 and 579.60

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Solution

The fourth proportional to 776.43, 1,069.20 and 579.60 is: 798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.43 : 1,069.20 = 579.60 : x
  2. Step 2: Convert to fraction form
    776.43/1,069.20 = 579.60/x
  3. Step 3: Cross multiply
    776.43x = 1,069.20 × 579.60
  4. Step 4: Simplify right side
    776.43x = 619,708.32
  5. Step 5: Solve for x
    x = 619,708.32/776.43
  6. Step 6: Final answer
    x = 798.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.