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Finding the Fourth Proportional to 645.24, 890.50 and 424.22

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Solution

The fourth proportional to 645.24, 890.50 and 424.22 is: 585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 890.50 = 424.22 : x
  2. Step 2: Convert to fraction form
    645.24/890.50 = 424.22/x
  3. Step 3: Cross multiply
    645.24x = 890.50 × 424.22
  4. Step 4: Simplify right side
    645.24x = 377,767.91
  5. Step 5: Solve for x
    x = 377,767.91/645.24
  6. Step 6: Final answer
    x = 585.47

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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.