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Finding the Fourth Proportional to 577.49, 797.60 and 420.83

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Solution

The fourth proportional to 577.49, 797.60 and 420.83 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.49 : 797.60 = 420.83 : x
  2. Step 2: Convert to fraction form
    577.49/797.60 = 420.83/x
  3. Step 3: Cross multiply
    577.49x = 797.60 × 420.83
  4. Step 4: Simplify right side
    577.49x = 335,650.02
  5. Step 5: Solve for x
    x = 335,650.02/577.49
  6. Step 6: Final answer
    x = 581.22

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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.