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Finding the Fourth Proportional to 715.76, 985.48 and 650.96

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Solution

The fourth proportional to 715.76, 985.48 and 650.96 is: 896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 985.48 = 650.96 : x
  2. Step 2: Convert to fraction form
    715.76/985.48 = 650.96/x
  3. Step 3: Cross multiply
    715.76x = 985.48 × 650.96
  4. Step 4: Simplify right side
    715.76x = 641,508.06
  5. Step 5: Solve for x
    x = 641,508.06/715.76
  6. Step 6: Final answer
    x = 896.26

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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.