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Finding the Fourth Proportional to 577.20, 829.44 and 577.20

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Solution

The fourth proportional to 577.20, 829.44 and 577.20 is: 829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 829.44 = 577.20 : x
  2. Step 2: Convert to fraction form
    577.20/829.44 = 577.20/x
  3. Step 3: Cross multiply
    577.20x = 829.44 × 577.20
  4. Step 4: Simplify right side
    577.20x = 478,752.77
  5. Step 5: Solve for x
    x = 478,752.77/577.20
  6. Step 6: Final answer
    x = 829.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.