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Finding the Fourth Proportional to 577.80, 797.00 and 420.21

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Solution

The fourth proportional to 577.80, 797.00 and 420.21 is: 579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 797.00 = 420.21 : x
  2. Step 2: Convert to fraction form
    577.80/797.00 = 420.21/x
  3. Step 3: Cross multiply
    577.80x = 797.00 × 420.21
  4. Step 4: Simplify right side
    577.80x = 334,905.27
  5. Step 5: Solve for x
    x = 334,905.27/577.80
  6. Step 6: Final answer
    x = 579.62

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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.