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Finding the Fourth Proportional to 592.43, 889.18 and 419.15

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Solution

The fourth proportional to 592.43, 889.18 and 419.15 is: 629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.43 : 889.18 = 419.15 : x
  2. Step 2: Convert to fraction form
    592.43/889.18 = 419.15/x
  3. Step 3: Cross multiply
    592.43x = 889.18 × 419.15
  4. Step 4: Simplify right side
    592.43x = 372,700.97
  5. Step 5: Solve for x
    x = 372,700.97/592.43
  6. Step 6: Final answer
    x = 629.11

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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.