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Finding the Fourth Proportional to 645.08, 889.80 and 424.34

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Solution

The fourth proportional to 645.08, 889.80 and 424.34 is: 585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.08 : 889.80 = 424.34 : x
  2. Step 2: Convert to fraction form
    645.08/889.80 = 424.34/x
  3. Step 3: Cross multiply
    645.08x = 889.80 × 424.34
  4. Step 4: Simplify right side
    645.08x = 377,577.73
  5. Step 5: Solve for x
    x = 377,577.73/645.08
  6. Step 6: Final answer
    x = 585.32

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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.