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Finding the Fourth Proportional to 852.72, 1,177 and 498.94

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Solution

The fourth proportional to 852.72, 1,177 and 498.94 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.72 : 1,177 = 498.94 : x
  2. Step 2: Convert to fraction form
    852.72/1,177 = 498.94/x
  3. Step 3: Cross multiply
    852.72x = 1,177 × 498.94
  4. Step 4: Simplify right side
    852.72x = 587,252.38
  5. Step 5: Solve for x
    x = 587,252.38/852.72
  6. Step 6: Final answer
    x = 688.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.