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Finding the Fourth Proportional to 645.08, 890.23 and 350.35

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Solution

The fourth proportional to 645.08, 890.23 and 350.35 is: 483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.08 : 890.23 = 350.35 : x
  2. Step 2: Convert to fraction form
    645.08/890.23 = 350.35/x
  3. Step 3: Cross multiply
    645.08x = 890.23 × 350.35
  4. Step 4: Simplify right side
    645.08x = 311,888.98
  5. Step 5: Solve for x
    x = 311,888.98/645.08
  6. Step 6: Final answer
    x = 483.49

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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.