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Finding the Fourth Proportional to 577.37, 797.43 and 420.70

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Solution

The fourth proportional to 577.37, 797.43 and 420.70 is: 581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.37 : 797.43 = 420.70 : x
  2. Step 2: Convert to fraction form
    577.37/797.43 = 420.70/x
  3. Step 3: Cross multiply
    577.37x = 797.43 × 420.70
  4. Step 4: Simplify right side
    577.37x = 335,476.70
  5. Step 5: Solve for x
    x = 335,476.70/577.37
  6. Step 6: Final answer
    x = 581.05

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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.