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Finding the Fourth Proportional to 661.76, 996.59 and 500.60

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Solution

The fourth proportional to 661.76, 996.59 and 500.60 is: 753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.76 : 996.59 = 500.60 : x
  2. Step 2: Convert to fraction form
    661.76/996.59 = 500.60/x
  3. Step 3: Cross multiply
    661.76x = 996.59 × 500.60
  4. Step 4: Simplify right side
    661.76x = 498,892.95
  5. Step 5: Solve for x
    x = 498,892.95/661.76
  6. Step 6: Final answer
    x = 753.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.