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Finding the Fourth Proportional to 707.75, 976.70 and 397.25

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Solution

The fourth proportional to 707.75, 976.70 and 397.25 is: 548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.75 : 976.70 = 397.25 : x
  2. Step 2: Convert to fraction form
    707.75/976.70 = 397.25/x
  3. Step 3: Cross multiply
    707.75x = 976.70 × 397.25
  4. Step 4: Simplify right side
    707.75x = 387,994.08
  5. Step 5: Solve for x
    x = 387,994.08/707.75
  6. Step 6: Final answer
    x = 548.21

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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.