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Finding the Fourth Proportional to 577.40, 797.48 and 381.80

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Solution

The fourth proportional to 577.40, 797.48 and 381.80 is: 527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 797.48 = 381.80 : x
  2. Step 2: Convert to fraction form
    577.40/797.48 = 381.80/x
  3. Step 3: Cross multiply
    577.40x = 797.48 × 381.80
  4. Step 4: Simplify right side
    577.40x = 304,477.86
  5. Step 5: Solve for x
    x = 304,477.86/577.40
  6. Step 6: Final answer
    x = 527.33

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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.