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Finding the Fourth Proportional to 645.29, 890.56 and 424.33

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Solution

The fourth proportional to 645.29, 890.56 and 424.33 is: 585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.29 : 890.56 = 424.33 : x
  2. Step 2: Convert to fraction form
    645.29/890.56 = 424.33/x
  3. Step 3: Cross multiply
    645.29x = 890.56 × 424.33
  4. Step 4: Simplify right side
    645.29x = 377,891.32
  5. Step 5: Solve for x
    x = 377,891.32/645.29
  6. Step 6: Final answer
    x = 585.61

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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.