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Finding the Fourth Proportional to 708.44, 976.32 and 511.62

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Solution

The fourth proportional to 708.44, 976.32 and 511.62 is: 705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.44 : 976.32 = 511.62 : x
  2. Step 2: Convert to fraction form
    708.44/976.32 = 511.62/x
  3. Step 3: Cross multiply
    708.44x = 976.32 × 511.62
  4. Step 4: Simplify right side
    708.44x = 499,504.84
  5. Step 5: Solve for x
    x = 499,504.84/708.44
  6. Step 6: Final answer
    x = 705.08

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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.