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Finding the Fourth Proportional to 577.80, 820.80 and 577.80

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Solution

The fourth proportional to 577.80, 820.80 and 577.80 is: 820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 820.80 = 577.80 : x
  2. Step 2: Convert to fraction form
    577.80/820.80 = 577.80/x
  3. Step 3: Cross multiply
    577.80x = 820.80 × 577.80
  4. Step 4: Simplify right side
    577.80x = 474,258.24
  5. Step 5: Solve for x
    x = 474,258.24/577.80
  6. Step 6: Final answer
    x = 820.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.