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Finding the Fourth Proportional to 593.09, 889.31 and 428.63

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Solution

The fourth proportional to 593.09, 889.31 and 428.63 is: 642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.09 : 889.31 = 428.63 : x
  2. Step 2: Convert to fraction form
    593.09/889.31 = 428.63/x
  3. Step 3: Cross multiply
    593.09x = 889.31 × 428.63
  4. Step 4: Simplify right side
    593.09x = 381,178.36
  5. Step 5: Solve for x
    x = 381,178.36/593.09
  6. Step 6: Final answer
    x = 642.70

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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.