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Finding the Fourth Proportional to 645.23, 890.78 and 446.35

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Solution

The fourth proportional to 645.23, 890.78 and 446.35 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.23 : 890.78 = 446.35 : x
  2. Step 2: Convert to fraction form
    645.23/890.78 = 446.35/x
  3. Step 3: Cross multiply
    645.23x = 890.78 × 446.35
  4. Step 4: Simplify right side
    645.23x = 397,595.19
  5. Step 5: Solve for x
    x = 397,595.19/645.23
  6. Step 6: Final answer
    x = 616.21

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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.