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Finding the Fourth Proportional to 486.63, 666.68 and 468.14

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Solution

The fourth proportional to 486.63, 666.68 and 468.14 is: 641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.63 : 666.68 = 468.14 : x
  2. Step 2: Convert to fraction form
    486.63/666.68 = 468.14/x
  3. Step 3: Cross multiply
    486.63x = 666.68 × 468.14
  4. Step 4: Simplify right side
    486.63x = 312,093.90
  5. Step 5: Solve for x
    x = 312,093.90/486.63
  6. Step 6: Final answer
    x = 641.34

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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.