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Finding the Fourth Proportional to 593.45, 889.68 and 385.43

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Solution

The fourth proportional to 593.45, 889.68 and 385.43 is: 577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.45 : 889.68 = 385.43 : x
  2. Step 2: Convert to fraction form
    593.45/889.68 = 385.43/x
  3. Step 3: Cross multiply
    593.45x = 889.68 × 385.43
  4. Step 4: Simplify right side
    593.45x = 342,904.91
  5. Step 5: Solve for x
    x = 342,904.91/593.45
  6. Step 6: Final answer
    x = 577.82

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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.