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Finding the Fourth Proportional to 653.11, 979.66 and 499.31

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Solution

The fourth proportional to 653.11, 979.66 and 499.31 is: 748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.11 : 979.66 = 499.31 : x
  2. Step 2: Convert to fraction form
    653.11/979.66 = 499.31/x
  3. Step 3: Cross multiply
    653.11x = 979.66 × 499.31
  4. Step 4: Simplify right side
    653.11x = 489,146.64
  5. Step 5: Solve for x
    x = 489,146.64/653.11
  6. Step 6: Final answer
    x = 748.96

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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.