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Finding the Fourth Proportional to 660.38, 989.69 and 514.31

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Solution

The fourth proportional to 660.38, 989.69 and 514.31 is: 770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.38 : 989.69 = 514.31 : x
  2. Step 2: Convert to fraction form
    660.38/989.69 = 514.31/x
  3. Step 3: Cross multiply
    660.38x = 989.69 × 514.31
  4. Step 4: Simplify right side
    660.38x = 508,999.94
  5. Step 5: Solve for x
    x = 508,999.94/660.38
  6. Step 6: Final answer
    x = 770.77

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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.