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Finding the Fourth Proportional to 707.92, 976.56 and 487.12

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Solution

The fourth proportional to 707.92, 976.56 and 487.12 is: 671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.92 : 976.56 = 487.12 : x
  2. Step 2: Convert to fraction form
    707.92/976.56 = 487.12/x
  3. Step 3: Cross multiply
    707.92x = 976.56 × 487.12
  4. Step 4: Simplify right side
    707.92x = 475,701.91
  5. Step 5: Solve for x
    x = 475,701.91/707.92
  6. Step 6: Final answer
    x = 671.97

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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.