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Finding the Fourth Proportional to 577.76, 797.84 and 421.30

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Solution

The fourth proportional to 577.76, 797.84 and 421.30 is: 581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 797.84 = 421.30 : x
  2. Step 2: Convert to fraction form
    577.76/797.84 = 421.30/x
  3. Step 3: Cross multiply
    577.76x = 797.84 × 421.30
  4. Step 4: Simplify right side
    577.76x = 336,129.99
  5. Step 5: Solve for x
    x = 336,129.99/577.76
  6. Step 6: Final answer
    x = 581.78

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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.