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Finding the Fourth Proportional to 577.43, 864.43 and 371.37

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Solution

The fourth proportional to 577.43, 864.43 and 371.37 is: 555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.43 : 864.43 = 371.37 : x
  2. Step 2: Convert to fraction form
    577.43/864.43 = 371.37/x
  3. Step 3: Cross multiply
    577.43x = 864.43 × 371.37
  4. Step 4: Simplify right side
    577.43x = 321,023.37
  5. Step 5: Solve for x
    x = 321,023.37/577.43
  6. Step 6: Final answer
    x = 555.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.