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Finding the Fourth Proportional to 577.60, 797.75 and 420.93

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Solution

The fourth proportional to 577.60, 797.75 and 420.93 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 797.75 = 420.93 : x
  2. Step 2: Convert to fraction form
    577.60/797.75 = 420.93/x
  3. Step 3: Cross multiply
    577.60x = 797.75 × 420.93
  4. Step 4: Simplify right side
    577.60x = 335,796.91
  5. Step 5: Solve for x
    x = 335,796.91/577.60
  6. Step 6: Final answer
    x = 581.37

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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.