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Finding the Fourth Proportional to 427.60, 577.80 and 427.60

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Solution

The fourth proportional to 427.60, 577.80 and 427.60 is: 577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 577.80 = 427.60 : x
  2. Step 2: Convert to fraction form
    427.60/577.80 = 427.60/x
  3. Step 3: Cross multiply
    427.60x = 577.80 × 427.60
  4. Step 4: Simplify right side
    427.60x = 247,067.28
  5. Step 5: Solve for x
    x = 247,067.28/427.60
  6. Step 6: Final answer
    x = 577.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.