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Finding the Fourth Proportional to 592.24, 889.44 and 448.96

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Solution

The fourth proportional to 592.24, 889.44 and 448.96 is: 674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.24 : 889.44 = 448.96 : x
  2. Step 2: Convert to fraction form
    592.24/889.44 = 448.96/x
  3. Step 3: Cross multiply
    592.24x = 889.44 × 448.96
  4. Step 4: Simplify right side
    592.24x = 399,322.98
  5. Step 5: Solve for x
    x = 399,322.98/592.24
  6. Step 6: Final answer
    x = 674.26

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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.