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Finding the Fourth Proportional to 466.36, 639.71 and 456.76

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Solution

The fourth proportional to 466.36, 639.71 and 456.76 is: 626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 639.71 = 456.76 : x
  2. Step 2: Convert to fraction form
    466.36/639.71 = 456.76/x
  3. Step 3: Cross multiply
    466.36x = 639.71 × 456.76
  4. Step 4: Simplify right side
    466.36x = 292,193.94
  5. Step 5: Solve for x
    x = 292,193.94/466.36
  6. Step 6: Final answer
    x = 626.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.