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Finding the Fourth Proportional to 466.40, 644.16 and 404.80

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Solution

The fourth proportional to 466.40, 644.16 and 404.80 is: 559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.40 : 644.16 = 404.80 : x
  2. Step 2: Convert to fraction form
    466.40/644.16 = 404.80/x
  3. Step 3: Cross multiply
    466.40x = 644.16 × 404.80
  4. Step 4: Simplify right side
    466.40x = 260,755.97
  5. Step 5: Solve for x
    x = 260,755.97/466.40
  6. Step 6: Final answer
    x = 559.08

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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.