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Finding the Fourth Proportional to 645.34, 890.57 and 350.61

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Solution

The fourth proportional to 645.34, 890.57 and 350.61 is: 483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.34 : 890.57 = 350.61 : x
  2. Step 2: Convert to fraction form
    645.34/890.57 = 350.61/x
  3. Step 3: Cross multiply
    645.34x = 890.57 × 350.61
  4. Step 4: Simplify right side
    645.34x = 312,240.99
  5. Step 5: Solve for x
    x = 312,240.99/645.34
  6. Step 6: Final answer
    x = 483.84

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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.