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Finding the Fourth Proportional to 577.62, 797.77 and 420.95

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Solution

The fourth proportional to 577.62, 797.77 and 420.95 is: 581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.62 : 797.77 = 420.95 : x
  2. Step 2: Convert to fraction form
    577.62/797.77 = 420.95/x
  3. Step 3: Cross multiply
    577.62x = 797.77 × 420.95
  4. Step 4: Simplify right side
    577.62x = 335,821.28
  5. Step 5: Solve for x
    x = 335,821.28/577.62
  6. Step 6: Final answer
    x = 581.39

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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.