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Finding the Fourth Proportional to 645.18, 889.29 and 448.35

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Solution

The fourth proportional to 645.18, 889.29 and 448.35 is: 617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.18 : 889.29 = 448.35 : x
  2. Step 2: Convert to fraction form
    645.18/889.29 = 448.35/x
  3. Step 3: Cross multiply
    645.18x = 889.29 × 448.35
  4. Step 4: Simplify right side
    645.18x = 398,713.17
  5. Step 5: Solve for x
    x = 398,713.17/645.18
  6. Step 6: Final answer
    x = 617.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.