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Finding the Fourth Proportional to 468.63, 641.16 and 466.83

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Solution

The fourth proportional to 468.63, 641.16 and 466.83 is: 638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.63 : 641.16 = 466.83 : x
  2. Step 2: Convert to fraction form
    468.63/641.16 = 466.83/x
  3. Step 3: Cross multiply
    468.63x = 641.16 × 466.83
  4. Step 4: Simplify right side
    468.63x = 299,312.72
  5. Step 5: Solve for x
    x = 299,312.72/468.63
  6. Step 6: Final answer
    x = 638.70

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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.