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Finding the Fourth Proportional to 708.78, 976.50 and 511.96

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Solution

The fourth proportional to 708.78, 976.50 and 511.96 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.78 : 976.50 = 511.96 : x
  2. Step 2: Convert to fraction form
    708.78/976.50 = 511.96/x
  3. Step 3: Cross multiply
    708.78x = 976.50 × 511.96
  4. Step 4: Simplify right side
    708.78x = 499,928.94
  5. Step 5: Solve for x
    x = 499,928.94/708.78
  6. Step 6: Final answer
    x = 705.34

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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.