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Finding the Fourth Proportional to 654.50, 983.12 and 499.89

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Solution

The fourth proportional to 654.50, 983.12 and 499.89 is: 750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.50 : 983.12 = 499.89 : x
  2. Step 2: Convert to fraction form
    654.50/983.12 = 499.89/x
  3. Step 3: Cross multiply
    654.50x = 983.12 × 499.89
  4. Step 4: Simplify right side
    654.50x = 491,451.86
  5. Step 5: Solve for x
    x = 491,451.86/654.50
  6. Step 6: Final answer
    x = 750.88

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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.