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Finding the Fourth Proportional to 645.24, 889.56 and 424.11

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Solution

The fourth proportional to 645.24, 889.56 and 424.11 is: 584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 889.56 = 424.11 : x
  2. Step 2: Convert to fraction form
    645.24/889.56 = 424.11/x
  3. Step 3: Cross multiply
    645.24x = 889.56 × 424.11
  4. Step 4: Simplify right side
    645.24x = 377,266.84
  5. Step 5: Solve for x
    x = 377,266.84/645.24
  6. Step 6: Final answer
    x = 584.70

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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.