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Finding the Fourth Proportional to 593.69, 889.16 and 428.11

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Solution

The fourth proportional to 593.69, 889.16 and 428.11 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.69 : 889.16 = 428.11 : x
  2. Step 2: Convert to fraction form
    593.69/889.16 = 428.11/x
  3. Step 3: Cross multiply
    593.69x = 889.16 × 428.11
  4. Step 4: Simplify right side
    593.69x = 380,653.84
  5. Step 5: Solve for x
    x = 380,653.84/593.69
  6. Step 6: Final answer
    x = 641.17

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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.