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Finding the Fourth Proportional to 591.96, 889.20 and 360.98

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Solution

The fourth proportional to 591.96, 889.20 and 360.98 is: 542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.96 : 889.20 = 360.98 : x
  2. Step 2: Convert to fraction form
    591.96/889.20 = 360.98/x
  3. Step 3: Cross multiply
    591.96x = 889.20 × 360.98
  4. Step 4: Simplify right side
    591.96x = 320,978.97
  5. Step 5: Solve for x
    x = 320,978.97/591.96
  6. Step 6: Final answer
    x = 542.23

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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.