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Finding the Fourth Proportional to 660.10, 988.09 and 486.96

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Solution

The fourth proportional to 660.10, 988.09 and 486.96 is: 728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 988.09 = 486.96 : x
  2. Step 2: Convert to fraction form
    660.10/988.09 = 486.96/x
  3. Step 3: Cross multiply
    660.10x = 988.09 × 486.96
  4. Step 4: Simplify right side
    660.10x = 481,159.09
  5. Step 5: Solve for x
    x = 481,159.09/660.10
  6. Step 6: Final answer
    x = 728.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.